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Finding the Third Proportional to 207,985 and 329,049

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Solution

The third proportional to 207,985 and 329,049 is: 520,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,985 : 329,049 = 329,049 : x
  2. Step 2: Convert to fraction form
    207,985/329,049 = 329,049/x
  3. Step 3: Cross multiply
    207,985x = 329,049 × 329,049
  4. Step 4: Simplify right side
    207,985x = 108,273,244,401
  5. Step 5: Solve for x
    x = 108,273,244,401/207,985
  6. Step 6: Final answer
    x = 520,581.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.