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Finding the Third Proportional to 463.50 and 709.75

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Solution

The third proportional to 463.50 and 709.75 is: 1,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 709.75 = 709.75 : x
  2. Step 2: Convert to fraction form
    463.50/709.75 = 709.75/x
  3. Step 3: Cross multiply
    463.50x = 709.75 × 709.75
  4. Step 4: Simplify right side
    463.50x = 503,745.06
  5. Step 5: Solve for x
    x = 503,745.06/463.50
  6. Step 6: Final answer
    x = 1,086.83

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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.