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Finding the Third Proportional to 207,472 and 422,548

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Solution

The third proportional to 207,472 and 422,548 is: 860,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,472 : 422,548 = 422,548 : x
  2. Step 2: Convert to fraction form
    207,472/422,548 = 422,548/x
  3. Step 3: Cross multiply
    207,472x = 422,548 × 422,548
  4. Step 4: Simplify right side
    207,472x = 178,546,812,304
  5. Step 5: Solve for x
    x = 178,546,812,304/207,472
  6. Step 6: Final answer
    x = 860,582.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.