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Finding the Third Proportional to 239,144.34 and 524,938.78

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Solution

The third proportional to 239,144.34 and 524,938.78 is: 1,152,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,144.34 : 524,938.78 = 524,938.78 : x
  2. Step 2: Convert to fraction form
    239,144.34/524,938.78 = 524,938.78/x
  3. Step 3: Cross multiply
    239,144.34x = 524,938.78 × 524,938.78
  4. Step 4: Simplify right side
    239,144.34x = 275,560,724,060.24
  5. Step 5: Solve for x
    x = 275,560,724,060.24/239,144.34
  6. Step 6: Final answer
    x = 1,152,277.82

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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.