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Finding the Third Proportional to 423.88 and 932.31

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Solution

The third proportional to 423.88 and 932.31 is: 2,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.88 : 932.31 = 932.31 : x
  2. Step 2: Convert to fraction form
    423.88/932.31 = 932.31/x
  3. Step 3: Cross multiply
    423.88x = 932.31 × 932.31
  4. Step 4: Simplify right side
    423.88x = 869,206.60
  5. Step 5: Solve for x
    x = 869,206.60/423.88
  6. Step 6: Final answer
    x = 2,050.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.