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Finding the Third Proportional to 614.46 and 924.54

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Solution

The third proportional to 614.46 and 924.54 is: 1,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.46 : 924.54 = 924.54 : x
  2. Step 2: Convert to fraction form
    614.46/924.54 = 924.54/x
  3. Step 3: Cross multiply
    614.46x = 924.54 × 924.54
  4. Step 4: Simplify right side
    614.46x = 854,772.48
  5. Step 5: Solve for x
    x = 854,772.48/614.46
  6. Step 6: Final answer
    x = 1,391.09

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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.