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Finding the Third Proportional to 301,735.13 and 647,281.13

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Solution

The third proportional to 301,735.13 and 647,281.13 is: 1,388,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,735.13 : 647,281.13 = 647,281.13 : x
  2. Step 2: Convert to fraction form
    301,735.13/647,281.13 = 647,281.13/x
  3. Step 3: Cross multiply
    301,735.13x = 647,281.13 × 647,281.13
  4. Step 4: Simplify right side
    301,735.13x = 418,972,854,781.27
  5. Step 5: Solve for x
    x = 418,972,854,781.27/301,735.13
  6. Step 6: Final answer
    x = 1,388,545.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.