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Finding the Third Proportional to 624.38 and 956.44

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Solution

The third proportional to 624.38 and 956.44 is: 1,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.38 : 956.44 = 956.44 : x
  2. Step 2: Convert to fraction form
    624.38/956.44 = 956.44/x
  3. Step 3: Cross multiply
    624.38x = 956.44 × 956.44
  4. Step 4: Simplify right side
    624.38x = 914,772.69
  5. Step 5: Solve for x
    x = 914,772.69/624.38
  6. Step 6: Final answer
    x = 1,465.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.