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Finding the Third Proportional to 367,082 and 812,775

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Solution

The third proportional to 367,082 and 812,775 is: 1,799,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,082 : 812,775 = 812,775 : x
  2. Step 2: Convert to fraction form
    367,082/812,775 = 812,775/x
  3. Step 3: Cross multiply
    367,082x = 812,775 × 812,775
  4. Step 4: Simplify right side
    367,082x = 660,603,200,625
  5. Step 5: Solve for x
    x = 660,603,200,625/367,082
  6. Step 6: Final answer
    x = 1,799,606.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.