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Finding the Third Proportional to 525,514,854 and 739,101,481.50

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Solution

The third proportional to 525,514,854 and 739,101,481.50 is: 1,039,496,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,514,854 : 739,101,481.50 = 739,101,481.50 : x
  2. Step 2: Convert to fraction form
    525,514,854/739,101,481.50 = 739,101,481.50/x
  3. Step 3: Cross multiply
    525,514,854x = 739,101,481.50 × 739,101,481.50
  4. Step 4: Simplify right side
    525,514,854x = 546,270,999,955,494,848
  5. Step 5: Solve for x
    x = 546,270,999,955,494,848/525,514,854
  6. Step 6: Final answer
    x = 1,039,496,782.63

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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.