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Finding the Third Proportional to 711.84 and 944.02

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Solution

The third proportional to 711.84 and 944.02 is: 1,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.84 : 944.02 = 944.02 : x
  2. Step 2: Convert to fraction form
    711.84/944.02 = 944.02/x
  3. Step 3: Cross multiply
    711.84x = 944.02 × 944.02
  4. Step 4: Simplify right side
    711.84x = 891,165.50
  5. Step 5: Solve for x
    x = 891,165.50/711.84
  6. Step 6: Final answer
    x = 1,251.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.