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Finding the Third Proportional to 766.41 and 1,654.24

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Solution

The third proportional to 766.41 and 1,654.24 is: 3,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.41 : 1,654.24 = 1,654.24 : x
  2. Step 2: Convert to fraction form
    766.41/1,654.24 = 1,654.24/x
  3. Step 3: Cross multiply
    766.41x = 1,654.24 × 1,654.24
  4. Step 4: Simplify right side
    766.41x = 2,736,517.21
  5. Step 5: Solve for x
    x = 2,736,517.21/766.41
  6. Step 6: Final answer
    x = 3,570.58

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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.