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Finding the Third Proportional to 462.06 and 697.91

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Solution

The third proportional to 462.06 and 697.91 is: 1,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.06 : 697.91 = 697.91 : x
  2. Step 2: Convert to fraction form
    462.06/697.91 = 697.91/x
  3. Step 3: Cross multiply
    462.06x = 697.91 × 697.91
  4. Step 4: Simplify right side
    462.06x = 487,073.13
  5. Step 5: Solve for x
    x = 487,073.13/462.06
  6. Step 6: Final answer
    x = 1,054.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.