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Finding the Third Proportional to 527.48 and 814.99

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Solution

The third proportional to 527.48 and 814.99 is: 1,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.48 : 814.99 = 814.99 : x
  2. Step 2: Convert to fraction form
    527.48/814.99 = 814.99/x
  3. Step 3: Cross multiply
    527.48x = 814.99 × 814.99
  4. Step 4: Simplify right side
    527.48x = 664,212.27
  5. Step 5: Solve for x
    x = 664,212.27/527.48
  6. Step 6: Final answer
    x = 1,259.21

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