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Finding the Third Proportional to 732.16 and 1,601.02

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Solution

The third proportional to 732.16 and 1,601.02 is: 3,500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.16 : 1,601.02 = 1,601.02 : x
  2. Step 2: Convert to fraction form
    732.16/1,601.02 = 1,601.02/x
  3. Step 3: Cross multiply
    732.16x = 1,601.02 × 1,601.02
  4. Step 4: Simplify right side
    732.16x = 2,563,251.03
  5. Step 5: Solve for x
    x = 2,563,251.03/732.16
  6. Step 6: Final answer
    x = 3,500.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.