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Finding the Third Proportional to 310,676 and 679,500

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Solution

The third proportional to 310,676 and 679,500 is: 1,486,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,676 : 679,500 = 679,500 : x
  2. Step 2: Convert to fraction form
    310,676/679,500 = 679,500/x
  3. Step 3: Cross multiply
    310,676x = 679,500 × 679,500
  4. Step 4: Simplify right side
    310,676x = 461,720,250,000
  5. Step 5: Solve for x
    x = 461,720,250,000/310,676
  6. Step 6: Final answer
    x = 1,486,179.33

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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.