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Finding the Third Proportional to 222,396 and 327,712

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Solution

The third proportional to 222,396 and 327,712 is: 482,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,396 : 327,712 = 327,712 : x
  2. Step 2: Convert to fraction form
    222,396/327,712 = 327,712/x
  3. Step 3: Cross multiply
    222,396x = 327,712 × 327,712
  4. Step 4: Simplify right side
    222,396x = 107,395,154,944
  5. Step 5: Solve for x
    x = 107,395,154,944/222,396
  6. Step 6: Final answer
    x = 482,900.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.