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Finding the Third Proportional to 680 and 1,486

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Solution

The third proportional to 680 and 1,486 is: 3,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 1,486 = 1,486 : x
  2. Step 2: Convert to fraction form
    680/1,486 = 1,486/x
  3. Step 3: Cross multiply
    680x = 1,486 × 1,486
  4. Step 4: Simplify right side
    680x = 2,208,196
  5. Step 5: Solve for x
    x = 2,208,196/680
  6. Step 6: Final answer
    x = 3,247.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.