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Finding the Third Proportional to 664.13 and 839.81

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Solution

The third proportional to 664.13 and 839.81 is: 1,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.13 : 839.81 = 839.81 : x
  2. Step 2: Convert to fraction form
    664.13/839.81 = 839.81/x
  3. Step 3: Cross multiply
    664.13x = 839.81 × 839.81
  4. Step 4: Simplify right side
    664.13x = 705,285.04
  5. Step 5: Solve for x
    x = 705,285.04/664.13
  6. Step 6: Final answer
    x = 1,061.98

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.