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Finding the Third Proportional to 715.13 and 1,086.56

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Solution

The third proportional to 715.13 and 1,086.56 is: 1,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.13 : 1,086.56 = 1,086.56 : x
  2. Step 2: Convert to fraction form
    715.13/1,086.56 = 1,086.56/x
  3. Step 3: Cross multiply
    715.13x = 1,086.56 × 1,086.56
  4. Step 4: Simplify right side
    715.13x = 1,180,618.07
  5. Step 5: Solve for x
    x = 1,180,618.07/715.13
  6. Step 6: Final answer
    x = 1,650.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.