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Finding the Third Proportional to 527.06 and 819.69

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Solution

The third proportional to 527.06 and 819.69 is: 1,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 819.69 = 819.69 : x
  2. Step 2: Convert to fraction form
    527.06/819.69 = 819.69/x
  3. Step 3: Cross multiply
    527.06x = 819.69 × 819.69
  4. Step 4: Simplify right side
    527.06x = 671,887.60
  5. Step 5: Solve for x
    x = 671,887.60/527.06
  6. Step 6: Final answer
    x = 1,274.78

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.