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Finding the Third Proportional to 437,701 and 656,551

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Solution

The third proportional to 437,701 and 656,551 is: 984,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,701 : 656,551 = 656,551 : x
  2. Step 2: Convert to fraction form
    437,701/656,551 = 656,551/x
  3. Step 3: Cross multiply
    437,701x = 656,551 × 656,551
  4. Step 4: Simplify right side
    437,701x = 431,059,215,601
  5. Step 5: Solve for x
    x = 431,059,215,601/437,701
  6. Step 6: Final answer
    x = 984,825.75

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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.