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Finding the Third Proportional to 263,549 and 567,124

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Solution

The third proportional to 263,549 and 567,124 is: 1,220,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,549 : 567,124 = 567,124 : x
  2. Step 2: Convert to fraction form
    263,549/567,124 = 567,124/x
  3. Step 3: Cross multiply
    263,549x = 567,124 × 567,124
  4. Step 4: Simplify right side
    263,549x = 321,629,631,376
  5. Step 5: Solve for x
    x = 321,629,631,376/263,549
  6. Step 6: Final answer
    x = 1,220,378.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.