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Finding the Third Proportional to 321,952 and 699,266

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Solution

The third proportional to 321,952 and 699,266 is: 1,518,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,952 : 699,266 = 699,266 : x
  2. Step 2: Convert to fraction form
    321,952/699,266 = 699,266/x
  3. Step 3: Cross multiply
    321,952x = 699,266 × 699,266
  4. Step 4: Simplify right side
    321,952x = 488,972,938,756
  5. Step 5: Solve for x
    x = 488,972,938,756/321,952
  6. Step 6: Final answer
    x = 1,518,775.90

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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.