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Finding the Third Proportional to 437,532 and 656,306

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Solution

The third proportional to 437,532 and 656,306 is: 984,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,532 : 656,306 = 656,306 : x
  2. Step 2: Convert to fraction form
    437,532/656,306 = 656,306/x
  3. Step 3: Cross multiply
    437,532x = 656,306 × 656,306
  4. Step 4: Simplify right side
    437,532x = 430,737,565,636
  5. Step 5: Solve for x
    x = 430,737,565,636/437,532
  6. Step 6: Final answer
    x = 984,471.00

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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.