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Finding the Third Proportional to 222,311 and 486,984

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Solution

The third proportional to 222,311 and 486,984 is: 1,066,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,311 : 486,984 = 486,984 : x
  2. Step 2: Convert to fraction form
    222,311/486,984 = 486,984/x
  3. Step 3: Cross multiply
    222,311x = 486,984 × 486,984
  4. Step 4: Simplify right side
    222,311x = 237,153,416,256
  5. Step 5: Solve for x
    x = 237,153,416,256/222,311
  6. Step 6: Final answer
    x = 1,066,764.20

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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.