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Finding the Third Proportional to 485,755,938 and 710,415,859.50

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Solution

The third proportional to 485,755,938 and 710,415,859.50 is: 1,038,979,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,755,938 : 710,415,859.50 = 710,415,859.50 : x
  2. Step 2: Convert to fraction form
    485,755,938/710,415,859.50 = 710,415,859.50/x
  3. Step 3: Cross multiply
    485,755,938x = 710,415,859.50 × 710,415,859.50
  4. Step 4: Simplify right side
    485,755,938x = 504,690,693,429,123,712
  5. Step 5: Solve for x
    x = 504,690,693,429,123,712/485,755,938
  6. Step 6: Final answer
    x = 1,038,979,977.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.