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Finding the Third Proportional to 932.45 and 1,441.86

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Solution

The third proportional to 932.45 and 1,441.86 is: 2,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.45 : 1,441.86 = 1,441.86 : x
  2. Step 2: Convert to fraction form
    932.45/1,441.86 = 1,441.86/x
  3. Step 3: Cross multiply
    932.45x = 1,441.86 × 1,441.86
  4. Step 4: Simplify right side
    932.45x = 2,078,969.72
  5. Step 5: Solve for x
    x = 2,078,969.72/932.45
  6. Step 6: Final answer
    x = 2,229.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.