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Finding the Third Proportional to 527.13 and 814.46

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Solution

The third proportional to 527.13 and 814.46 is: 1,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.13 : 814.46 = 814.46 : x
  2. Step 2: Convert to fraction form
    527.13/814.46 = 814.46/x
  3. Step 3: Cross multiply
    527.13x = 814.46 × 814.46
  4. Step 4: Simplify right side
    527.13x = 663,352.98
  5. Step 5: Solve for x
    x = 663,352.98/527.13
  6. Step 6: Final answer
    x = 1,258.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.