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Finding the Third Proportional to 525,514,851.75 and 739,101,477.56

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Solution

The third proportional to 525,514,851.75 and 739,101,477.56 is: 1,039,496,776.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,514,851.75 : 739,101,477.56 = 739,101,477.56 : x
  2. Step 2: Convert to fraction form
    525,514,851.75/739,101,477.56 = 739,101,477.56/x
  3. Step 3: Cross multiply
    525,514,851.75x = 739,101,477.56 × 739,101,477.56
  4. Step 4: Simplify right side
    525,514,851.75x = 546,270,994,135,070,720
  5. Step 5: Solve for x
    x = 546,270,994,135,070,720/525,514,851.75
  6. Step 6: Final answer
    x = 1,039,496,776.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.