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Finding the Third Proportional to 680 and 1,000

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Solution

The third proportional to 680 and 1,000 is: 1,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    680 : 1,000 = 1,000 : x
  2. Step 2: Convert to fraction form
    680/1,000 = 1,000/x
  3. Step 3: Cross multiply
    680x = 1,000 × 1,000
  4. Step 4: Simplify right side
    680x = 1,000,000
  5. Step 5: Solve for x
    x = 1,000,000/680
  6. Step 6: Final answer
    x = 1,470.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.