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Finding the Third Proportional to 525,514,860 and 739,101,490.50

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Solution

The third proportional to 525,514,860 and 739,101,490.50 is: 1,039,496,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,514,860 : 739,101,490.50 = 739,101,490.50 : x
  2. Step 2: Convert to fraction form
    525,514,860/739,101,490.50 = 739,101,490.50/x
  3. Step 3: Cross multiply
    525,514,860x = 739,101,490.50 × 739,101,490.50
  4. Step 4: Simplify right side
    525,514,860x = 546,271,013,259,321,600
  5. Step 5: Solve for x
    x = 546,271,013,259,321,600/525,514,860
  6. Step 6: Final answer
    x = 1,039,496,796.07

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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.