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Finding the Third Proportional to 275,344 and 565,510

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Solution

The third proportional to 275,344 and 565,510 is: 1,161,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,344 : 565,510 = 565,510 : x
  2. Step 2: Convert to fraction form
    275,344/565,510 = 565,510/x
  3. Step 3: Cross multiply
    275,344x = 565,510 × 565,510
  4. Step 4: Simplify right side
    275,344x = 319,801,560,100
  5. Step 5: Solve for x
    x = 319,801,560,100/275,344
  6. Step 6: Final answer
    x = 1,161,461.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.