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Finding the Third Proportional to 309,663 and 452,545.31

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Solution

The third proportional to 309,663 and 452,545.31 is: 661,355.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,663 : 452,545.31 = 452,545.31 : x
  2. Step 2: Convert to fraction form
    309,663/452,545.31 = 452,545.31/x
  3. Step 3: Cross multiply
    309,663x = 452,545.31 × 452,545.31
  4. Step 4: Simplify right side
    309,663x = 204,797,259,865.72
  5. Step 5: Solve for x
    x = 204,797,259,865.72/309,663
  6. Step 6: Final answer
    x = 661,355.28

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