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Finding the Third Proportional to 220,972.43 and 482,425.72

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Solution

The third proportional to 220,972.43 and 482,425.72 is: 1,053,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,972.43 : 482,425.72 = 482,425.72 : x
  2. Step 2: Convert to fraction form
    220,972.43/482,425.72 = 482,425.72/x
  3. Step 3: Cross multiply
    220,972.43x = 482,425.72 × 482,425.72
  4. Step 4: Simplify right side
    220,972.43x = 232,734,572,226.96
  5. Step 5: Solve for x
    x = 232,734,572,226.96/220,972.43
  6. Step 6: Final answer
    x = 1,053,229.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.