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Finding the Third Proportional to 265,059 and 552,474

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Solution

The third proportional to 265,059 and 552,474 is: 1,151,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,059 : 552,474 = 552,474 : x
  2. Step 2: Convert to fraction form
    265,059/552,474 = 552,474/x
  3. Step 3: Cross multiply
    265,059x = 552,474 × 552,474
  4. Step 4: Simplify right side
    265,059x = 305,227,520,676
  5. Step 5: Solve for x
    x = 305,227,520,676/265,059
  6. Step 6: Final answer
    x = 1,151,545.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.