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Finding the Third Proportional to 253,760,431 and 403,782,723

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Solution

The third proportional to 253,760,431 and 403,782,723 is: 642,497,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,760,431 : 403,782,723 = 403,782,723 : x
  2. Step 2: Convert to fraction form
    253,760,431/403,782,723 = 403,782,723/x
  3. Step 3: Cross multiply
    253,760,431x = 403,782,723 × 403,782,723
  4. Step 4: Simplify right side
    253,760,431x = 163,040,487,393,294,720
  5. Step 5: Solve for x
    x = 163,040,487,393,294,720/253,760,431
  6. Step 6: Final answer
    x = 642,497,676.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.