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Finding the Third Proportional to 716.06 and 819.84

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Solution

The third proportional to 716.06 and 819.84 is: 938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.06 : 819.84 = 819.84 : x
  2. Step 2: Convert to fraction form
    716.06/819.84 = 819.84/x
  3. Step 3: Cross multiply
    716.06x = 819.84 × 819.84
  4. Step 4: Simplify right side
    716.06x = 672,143.77
  5. Step 5: Solve for x
    x = 672,143.77/716.06
  6. Step 6: Final answer
    x = 938.67

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.