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Finding the Third Proportional to 238,227 and 523,683

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Solution

The third proportional to 238,227 and 523,683 is: 1,151,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,227 : 523,683 = 523,683 : x
  2. Step 2: Convert to fraction form
    238,227/523,683 = 523,683/x
  3. Step 3: Cross multiply
    238,227x = 523,683 × 523,683
  4. Step 4: Simplify right side
    238,227x = 274,243,884,489
  5. Step 5: Solve for x
    x = 274,243,884,489/238,227
  6. Step 6: Final answer
    x = 1,151,187.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.