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Finding the Third Proportional to 697.13 and 1,407.75

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Solution

The third proportional to 697.13 and 1,407.75 is: 2,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.13 : 1,407.75 = 1,407.75 : x
  2. Step 2: Convert to fraction form
    697.13/1,407.75 = 1,407.75/x
  3. Step 3: Cross multiply
    697.13x = 1,407.75 × 1,407.75
  4. Step 4: Simplify right side
    697.13x = 1,981,760.06
  5. Step 5: Solve for x
    x = 1,981,760.06/697.13
  6. Step 6: Final answer
    x = 2,842.76

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.