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Finding the Third Proportional to 321,979 and 699,267

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Solution

The third proportional to 321,979 and 699,267 is: 1,518,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,979 : 699,267 = 699,267 : x
  2. Step 2: Convert to fraction form
    321,979/699,267 = 699,267/x
  3. Step 3: Cross multiply
    321,979x = 699,267 × 699,267
  4. Step 4: Simplify right side
    321,979x = 488,974,337,289
  5. Step 5: Solve for x
    x = 488,974,337,289/321,979
  6. Step 6: Final answer
    x = 1,518,652.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.