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Finding the Third Proportional to 224,584.31 and 486,545.06

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Solution

The third proportional to 224,584.31 and 486,545.06 is: 1,054,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,584.31 : 486,545.06 = 486,545.06 : x
  2. Step 2: Convert to fraction form
    224,584.31/486,545.06 = 486,545.06/x
  3. Step 3: Cross multiply
    224,584.31x = 486,545.06 × 486,545.06
  4. Step 4: Simplify right side
    224,584.31x = 236,726,097,843.13
  5. Step 5: Solve for x
    x = 236,726,097,843.13/224,584.31
  6. Step 6: Final answer
    x = 1,054,063.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.