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Finding the Third Proportional to 224,947.13 and 531,020.81

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Solution

The third proportional to 224,947.13 and 531,020.81 is: 1,253,552.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,947.13 : 531,020.81 = 531,020.81 : x
  2. Step 2: Convert to fraction form
    224,947.13/531,020.81 = 531,020.81/x
  3. Step 3: Cross multiply
    224,947.13x = 531,020.81 × 531,020.81
  4. Step 4: Simplify right side
    224,947.13x = 281,983,103,308.16
  5. Step 5: Solve for x
    x = 281,983,103,308.16/224,947.13
  6. Step 6: Final answer
    x = 1,253,552.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.