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Finding the Third Proportional to 697.13 and 1,082.81

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Solution

The third proportional to 697.13 and 1,082.81 is: 1,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.13 : 1,082.81 = 1,082.81 : x
  2. Step 2: Convert to fraction form
    697.13/1,082.81 = 1,082.81/x
  3. Step 3: Cross multiply
    697.13x = 1,082.81 × 1,082.81
  4. Step 4: Simplify right side
    697.13x = 1,172,482.91
  5. Step 5: Solve for x
    x = 1,172,482.91/697.13
  6. Step 6: Final answer
    x = 1,681.88

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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.