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Finding the Third Proportional to 437,709 and 656,560.50

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Solution

The third proportional to 437,709 and 656,560.50 is: 984,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,709 : 656,560.50 = 656,560.50 : x
  2. Step 2: Convert to fraction form
    437,709/656,560.50 = 656,560.50/x
  3. Step 3: Cross multiply
    437,709x = 656,560.50 × 656,560.50
  4. Step 4: Simplify right side
    437,709x = 431,071,690,160.25
  5. Step 5: Solve for x
    x = 431,071,690,160.25/437,709
  6. Step 6: Final answer
    x = 984,836.25

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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.