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Finding the Third Proportional to 275,684 and 563,048

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Solution

The third proportional to 275,684 and 563,048 is: 1,149,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,684 : 563,048 = 563,048 : x
  2. Step 2: Convert to fraction form
    275,684/563,048 = 563,048/x
  3. Step 3: Cross multiply
    275,684x = 563,048 × 563,048
  4. Step 4: Simplify right side
    275,684x = 317,023,050,304
  5. Step 5: Solve for x
    x = 317,023,050,304/275,684
  6. Step 6: Final answer
    x = 1,149,950.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.