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Finding the Third Proportional to 685.26 and 1,034.02

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Solution

The third proportional to 685.26 and 1,034.02 is: 1,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.26 : 1,034.02 = 1,034.02 : x
  2. Step 2: Convert to fraction form
    685.26/1,034.02 = 1,034.02/x
  3. Step 3: Cross multiply
    685.26x = 1,034.02 × 1,034.02
  4. Step 4: Simplify right side
    685.26x = 1,069,188.31
  5. Step 5: Solve for x
    x = 1,069,188.31/685.26
  6. Step 6: Final answer
    x = 1,560.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.