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Finding the Third Proportional to 610.03 and 1,439.65

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Solution

The third proportional to 610.03 and 1,439.65 is: 3,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.03 : 1,439.65 = 1,439.65 : x
  2. Step 2: Convert to fraction form
    610.03/1,439.65 = 1,439.65/x
  3. Step 3: Cross multiply
    610.03x = 1,439.65 × 1,439.65
  4. Step 4: Simplify right side
    610.03x = 2,072,587.62
  5. Step 5: Solve for x
    x = 2,072,587.62/610.03
  6. Step 6: Final answer
    x = 3,397.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.