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Finding the Third Proportional to 250,400 and 517,376

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Solution

The third proportional to 250,400 and 517,376 is: 1,069,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,400 : 517,376 = 517,376 : x
  2. Step 2: Convert to fraction form
    250,400/517,376 = 517,376/x
  3. Step 3: Cross multiply
    250,400x = 517,376 × 517,376
  4. Step 4: Simplify right side
    250,400x = 267,677,925,376
  5. Step 5: Solve for x
    x = 267,677,925,376/250,400
  6. Step 6: Final answer
    x = 1,069,001.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.