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Finding the Third Proportional to 437.59 and 656.42

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Solution

The third proportional to 437.59 and 656.42 is: 984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.59 : 656.42 = 656.42 : x
  2. Step 2: Convert to fraction form
    437.59/656.42 = 656.42/x
  3. Step 3: Cross multiply
    437.59x = 656.42 × 656.42
  4. Step 4: Simplify right side
    437.59x = 430,889.68
  5. Step 5: Solve for x
    x = 430,889.68/437.59
  6. Step 6: Final answer
    x = 984.68

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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.