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Finding the Third Proportional to 742.92 and 1,154.88

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Solution

The third proportional to 742.92 and 1,154.88 is: 1,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 1,154.88 = 1,154.88 : x
  2. Step 2: Convert to fraction form
    742.92/1,154.88 = 1,154.88/x
  3. Step 3: Cross multiply
    742.92x = 1,154.88 × 1,154.88
  4. Step 4: Simplify right side
    742.92x = 1,333,754.31
  5. Step 5: Solve for x
    x = 1,333,754.31/742.92
  6. Step 6: Final answer
    x = 1,795.28

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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.