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Finding the Third Proportional to 527.13 and 806.68

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Solution

The third proportional to 527.13 and 806.68 is: 1,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.13 : 806.68 = 806.68 : x
  2. Step 2: Convert to fraction form
    527.13/806.68 = 806.68/x
  3. Step 3: Cross multiply
    527.13x = 806.68 × 806.68
  4. Step 4: Simplify right side
    527.13x = 650,728.97
  5. Step 5: Solve for x
    x = 650,728.97/527.13
  6. Step 6: Final answer
    x = 1,234.47

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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.