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Finding the Third Proportional to 239,571 and 523,975.50

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Solution

The third proportional to 239,571 and 523,975.50 is: 1,146,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,571 : 523,975.50 = 523,975.50 : x
  2. Step 2: Convert to fraction form
    239,571/523,975.50 = 523,975.50/x
  3. Step 3: Cross multiply
    239,571x = 523,975.50 × 523,975.50
  4. Step 4: Simplify right side
    239,571x = 274,550,324,600.25
  5. Step 5: Solve for x
    x = 274,550,324,600.25/239,571
  6. Step 6: Final answer
    x = 1,146,008.18

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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.