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Finding the Third Proportional to 713.50 and 815.50

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Solution

The third proportional to 713.50 and 815.50 is: 932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.50 : 815.50 = 815.50 : x
  2. Step 2: Convert to fraction form
    713.50/815.50 = 815.50/x
  3. Step 3: Cross multiply
    713.50x = 815.50 × 815.50
  4. Step 4: Simplify right side
    713.50x = 665,040.25
  5. Step 5: Solve for x
    x = 665,040.25/713.50
  6. Step 6: Final answer
    x = 932.08

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