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Finding the Third Proportional to 502.14 and 1,086.86

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Solution

The third proportional to 502.14 and 1,086.86 is: 2,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.14 : 1,086.86 = 1,086.86 : x
  2. Step 2: Convert to fraction form
    502.14/1,086.86 = 1,086.86/x
  3. Step 3: Cross multiply
    502.14x = 1,086.86 × 1,086.86
  4. Step 4: Simplify right side
    502.14x = 1,181,254.81
  5. Step 5: Solve for x
    x = 1,181,254.81/502.14
  6. Step 6: Final answer
    x = 2,352.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.