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Finding the Third Proportional to 713.06 and 767.06

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Solution

The third proportional to 713.06 and 767.06 is: 825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.06 : 767.06 = 767.06 : x
  2. Step 2: Convert to fraction form
    713.06/767.06 = 767.06/x
  3. Step 3: Cross multiply
    713.06x = 767.06 × 767.06
  4. Step 4: Simplify right side
    713.06x = 588,384.88
  5. Step 5: Solve for x
    x = 588,384.88/713.06
  6. Step 6: Final answer
    x = 825.15

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.