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Finding the Third Proportional to 527.13 and 1,022.31

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Solution

The third proportional to 527.13 and 1,022.31 is: 1,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.13 : 1,022.31 = 1,022.31 : x
  2. Step 2: Convert to fraction form
    527.13/1,022.31 = 1,022.31/x
  3. Step 3: Cross multiply
    527.13x = 1,022.31 × 1,022.31
  4. Step 4: Simplify right side
    527.13x = 1,045,114.86
  5. Step 5: Solve for x
    x = 1,045,114.86/527.13
  6. Step 6: Final answer
    x = 1,982.64

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.