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Finding the Third Proportional to 238,299.50 and 523,828

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Solution

The third proportional to 238,299.50 and 523,828 is: 1,151,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,299.50 : 523,828 = 523,828 : x
  2. Step 2: Convert to fraction form
    238,299.50/523,828 = 523,828/x
  3. Step 3: Cross multiply
    238,299.50x = 523,828 × 523,828
  4. Step 4: Simplify right side
    238,299.50x = 274,395,773,584
  5. Step 5: Solve for x
    x = 274,395,773,584/238,299.50
  6. Step 6: Final answer
    x = 1,151,474.40

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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.