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Finding the Third Proportional to 664.03 and 931.92

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Solution

The third proportional to 664.03 and 931.92 is: 1,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.03 : 931.92 = 931.92 : x
  2. Step 2: Convert to fraction form
    664.03/931.92 = 931.92/x
  3. Step 3: Cross multiply
    664.03x = 931.92 × 931.92
  4. Step 4: Simplify right side
    664.03x = 868,478.38
  5. Step 5: Solve for x
    x = 868,478.38/664.03
  6. Step 6: Final answer
    x = 1,307.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.