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Finding the Third Proportional to 239,539 and 399,207

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Solution

The third proportional to 239,539 and 399,207 is: 665,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,539 : 399,207 = 399,207 : x
  2. Step 2: Convert to fraction form
    239,539/399,207 = 399,207/x
  3. Step 3: Cross multiply
    239,539x = 399,207 × 399,207
  4. Step 4: Simplify right side
    239,539x = 159,366,228,849
  5. Step 5: Solve for x
    x = 159,366,228,849/239,539
  6. Step 6: Final answer
    x = 665,303.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.