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Finding the Third Proportional to 207,474 and 329,355

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Solution

The third proportional to 207,474 and 329,355 is: 522,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,474 : 329,355 = 329,355 : x
  2. Step 2: Convert to fraction form
    207,474/329,355 = 329,355/x
  3. Step 3: Cross multiply
    207,474x = 329,355 × 329,355
  4. Step 4: Simplify right side
    207,474x = 108,474,716,025
  5. Step 5: Solve for x
    x = 108,474,716,025/207,474
  6. Step 6: Final answer
    x = 522,835.23

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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.