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Finding the Third Proportional to 238,469.06 and 518,353.17

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Solution

The third proportional to 238,469.06 and 518,353.17 is: 1,126,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,469.06 : 518,353.17 = 518,353.17 : x
  2. Step 2: Convert to fraction form
    238,469.06/518,353.17 = 518,353.17/x
  3. Step 3: Cross multiply
    238,469.06x = 518,353.17 × 518,353.17
  4. Step 4: Simplify right side
    238,469.06x = 268,690,010,792.87
  5. Step 5: Solve for x
    x = 268,690,010,792.87/238,469.06
  6. Step 6: Final answer
    x = 1,126,729.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.