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Finding the Third Proportional to 697.03 and 1,502.91

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Solution

The third proportional to 697.03 and 1,502.91 is: 3,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.03 : 1,502.91 = 1,502.91 : x
  2. Step 2: Convert to fraction form
    697.03/1,502.91 = 1,502.91/x
  3. Step 3: Cross multiply
    697.03x = 1,502.91 × 1,502.91
  4. Step 4: Simplify right side
    697.03x = 2,258,727.20
  5. Step 5: Solve for x
    x = 2,258,727.20/697.03
  6. Step 6: Final answer
    x = 3,240.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.