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Finding the Third Proportional to 865.97 and 1,328.06

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Solution

The third proportional to 865.97 and 1,328.06 is: 2,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.97 : 1,328.06 = 1,328.06 : x
  2. Step 2: Convert to fraction form
    865.97/1,328.06 = 1,328.06/x
  3. Step 3: Cross multiply
    865.97x = 1,328.06 × 1,328.06
  4. Step 4: Simplify right side
    865.97x = 1,763,750.00
  5. Step 5: Solve for x
    x = 1,763,750.00/865.97
  6. Step 6: Final answer
    x = 2,036.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.