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Finding the Third Proportional to 207,478 and 329,361

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Solution

The third proportional to 207,478 and 329,361 is: 522,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,478 : 329,361 = 329,361 : x
  2. Step 2: Convert to fraction form
    207,478/329,361 = 329,361/x
  3. Step 3: Cross multiply
    207,478x = 329,361 × 329,361
  4. Step 4: Simplify right side
    207,478x = 108,478,668,321
  5. Step 5: Solve for x
    x = 108,478,668,321/207,478
  6. Step 6: Final answer
    x = 522,844.20

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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.