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Finding the Third Proportional to 202,624 and 439,592

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Solution

The third proportional to 202,624 and 439,592 is: 953,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,624 : 439,592 = 439,592 : x
  2. Step 2: Convert to fraction form
    202,624/439,592 = 439,592/x
  3. Step 3: Cross multiply
    202,624x = 439,592 × 439,592
  4. Step 4: Simplify right side
    202,624x = 193,241,126,464
  5. Step 5: Solve for x
    x = 193,241,126,464/202,624
  6. Step 6: Final answer
    x = 953,693.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.