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Finding the Third Proportional to 498,038,436 and 744,312,693

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Solution

The third proportional to 498,038,436 and 744,312,693 is: 1,112,366,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,038,436 : 744,312,693 = 744,312,693 : x
  2. Step 2: Convert to fraction form
    498,038,436/744,312,693 = 744,312,693/x
  3. Step 3: Cross multiply
    498,038,436x = 744,312,693 × 744,312,693
  4. Step 4: Simplify right side
    498,038,436x = 554,001,384,960,912,256
  5. Step 5: Solve for x
    x = 554,001,384,960,912,256/498,038,436
  6. Step 6: Final answer
    x = 1,112,366,726.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.