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Finding the Third Proportional to 732.66 and 1,525.78

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Solution

The third proportional to 732.66 and 1,525.78 is: 3,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.66 : 1,525.78 = 1,525.78 : x
  2. Step 2: Convert to fraction form
    732.66/1,525.78 = 1,525.78/x
  3. Step 3: Cross multiply
    732.66x = 1,525.78 × 1,525.78
  4. Step 4: Simplify right side
    732.66x = 2,328,008.42
  5. Step 5: Solve for x
    x = 2,328,008.42/732.66
  6. Step 6: Final answer
    x = 3,177.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.