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Finding the Third Proportional to 320,832 and 649,452

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Solution

The third proportional to 320,832 and 649,452 is: 1,314,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,832 : 649,452 = 649,452 : x
  2. Step 2: Convert to fraction form
    320,832/649,452 = 649,452/x
  3. Step 3: Cross multiply
    320,832x = 649,452 × 649,452
  4. Step 4: Simplify right side
    320,832x = 421,787,900,304
  5. Step 5: Solve for x
    x = 421,787,900,304/320,832
  6. Step 6: Final answer
    x = 1,314,669.05

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.