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Finding the Third Proportional to 685.13 and 1,470.38

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Solution

The third proportional to 685.13 and 1,470.38 is: 3,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.13 : 1,470.38 = 1,470.38 : x
  2. Step 2: Convert to fraction form
    685.13/1,470.38 = 1,470.38/x
  3. Step 3: Cross multiply
    685.13x = 1,470.38 × 1,470.38
  4. Step 4: Simplify right side
    685.13x = 2,162,002.64
  5. Step 5: Solve for x
    x = 2,162,002.64/685.13
  6. Step 6: Final answer
    x = 3,155.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.