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Finding the Third Proportional to 704.06 and 959.91

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Solution

The third proportional to 704.06 and 959.91 is: 1,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.06 : 959.91 = 959.91 : x
  2. Step 2: Convert to fraction form
    704.06/959.91 = 959.91/x
  3. Step 3: Cross multiply
    704.06x = 959.91 × 959.91
  4. Step 4: Simplify right side
    704.06x = 921,420.01
  5. Step 5: Solve for x
    x = 921,420.01/704.06
  6. Step 6: Final answer
    x = 1,308.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.