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Finding the Third Proportional to 222,280 and 486,722

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Solution

The third proportional to 222,280 and 486,722 is: 1,065,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,280 : 486,722 = 486,722 : x
  2. Step 2: Convert to fraction form
    222,280/486,722 = 486,722/x
  3. Step 3: Cross multiply
    222,280x = 486,722 × 486,722
  4. Step 4: Simplify right side
    222,280x = 236,898,305,284
  5. Step 5: Solve for x
    x = 236,898,305,284/222,280
  6. Step 6: Final answer
    x = 1,065,765.27

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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.