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Finding the Third Proportional to 321,120 and 699,452

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Solution

The third proportional to 321,120 and 699,452 is: 1,523,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,120 : 699,452 = 699,452 : x
  2. Step 2: Convert to fraction form
    321,120/699,452 = 699,452/x
  3. Step 3: Cross multiply
    321,120x = 699,452 × 699,452
  4. Step 4: Simplify right side
    321,120x = 489,233,100,304
  5. Step 5: Solve for x
    x = 489,233,100,304/321,120
  6. Step 6: Final answer
    x = 1,523,521.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.