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Finding the Third Proportional to 307,396,217 and 475,458,542

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Solution

The third proportional to 307,396,217 and 475,458,542 is: 735,405,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,396,217 : 475,458,542 = 475,458,542 : x
  2. Step 2: Convert to fraction form
    307,396,217/475,458,542 = 475,458,542/x
  3. Step 3: Cross multiply
    307,396,217x = 475,458,542 × 475,458,542
  4. Step 4: Simplify right side
    307,396,217x = 226,060,825,160,765,760
  5. Step 5: Solve for x
    x = 226,060,825,160,765,760/307,396,217
  6. Step 6: Final answer
    x = 735,405,358.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.