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Finding the Third Proportional to 436,552 and 656,452

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Solution

The third proportional to 436,552 and 656,452 is: 987,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,552 : 656,452 = 656,452 : x
  2. Step 2: Convert to fraction form
    436,552/656,452 = 656,452/x
  3. Step 3: Cross multiply
    436,552x = 656,452 × 656,452
  4. Step 4: Simplify right side
    436,552x = 430,929,228,304
  5. Step 5: Solve for x
    x = 430,929,228,304/436,552
  6. Step 6: Final answer
    x = 987,120.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.