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Finding the Third Proportional to 239,672.25 and 522,244.13

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Solution

The third proportional to 239,672.25 and 522,244.13 is: 1,137,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,672.25 : 522,244.13 = 522,244.13 : x
  2. Step 2: Convert to fraction form
    239,672.25/522,244.13 = 522,244.13/x
  3. Step 3: Cross multiply
    239,672.25x = 522,244.13 × 522,244.13
  4. Step 4: Simplify right side
    239,672.25x = 272,738,926,097.02
  5. Step 5: Solve for x
    x = 272,738,926,097.02/239,672.25
  6. Step 6: Final answer
    x = 1,137,966.23

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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.