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Finding the Third Proportional to 250,639.31 and 411,452.16

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Solution

The third proportional to 250,639.31 and 411,452.16 is: 675,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,639.31 : 411,452.16 = 411,452.16 : x
  2. Step 2: Convert to fraction form
    250,639.31/411,452.16 = 411,452.16/x
  3. Step 3: Cross multiply
    250,639.31x = 411,452.16 × 411,452.16
  4. Step 4: Simplify right side
    250,639.31x = 169,292,876,882.77
  5. Step 5: Solve for x
    x = 169,292,876,882.77/250,639.31
  6. Step 6: Final answer
    x = 675,444.23

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.