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Finding the Third Proportional to 222,324 and 486,812

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Solution

The third proportional to 222,324 and 486,812 is: 1,065,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,324 : 486,812 = 486,812 : x
  2. Step 2: Convert to fraction form
    222,324/486,812 = 486,812/x
  3. Step 3: Cross multiply
    222,324x = 486,812 × 486,812
  4. Step 4: Simplify right side
    222,324x = 236,985,923,344
  5. Step 5: Solve for x
    x = 236,985,923,344/222,324
  6. Step 6: Final answer
    x = 1,065,948.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.