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Finding the Third Proportional to 320,082 and 694,452

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Solution

The third proportional to 320,082 and 694,452 is: 1,506,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,082 : 694,452 = 694,452 : x
  2. Step 2: Convert to fraction form
    320,082/694,452 = 694,452/x
  3. Step 3: Cross multiply
    320,082x = 694,452 × 694,452
  4. Step 4: Simplify right side
    320,082x = 482,263,580,304
  5. Step 5: Solve for x
    x = 482,263,580,304/320,082
  6. Step 6: Final answer
    x = 1,506,687.60

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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.