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Finding the Third Proportional to 207,488 and 329,376

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Solution

The third proportional to 207,488 and 329,376 is: 522,866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,488 : 329,376 = 329,376 : x
  2. Step 2: Convert to fraction form
    207,488/329,376 = 329,376/x
  3. Step 3: Cross multiply
    207,488x = 329,376 × 329,376
  4. Step 4: Simplify right side
    207,488x = 108,488,549,376
  5. Step 5: Solve for x
    x = 108,488,549,376/207,488
  6. Step 6: Final answer
    x = 522,866.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.