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Finding the Third Proportional to 709.88 and 934.31

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Solution

The third proportional to 709.88 and 934.31 is: 1,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.88 : 934.31 = 934.31 : x
  2. Step 2: Convert to fraction form
    709.88/934.31 = 934.31/x
  3. Step 3: Cross multiply
    709.88x = 934.31 × 934.31
  4. Step 4: Simplify right side
    709.88x = 872,939.85
  5. Step 5: Solve for x
    x = 872,939.85/709.88
  6. Step 6: Final answer
    x = 1,229.71

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.