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Finding the Third Proportional to 275,662 and 600,548

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Solution

The third proportional to 275,662 and 600,548 is: 1,308,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,662 : 600,548 = 600,548 : x
  2. Step 2: Convert to fraction form
    275,662/600,548 = 600,548/x
  3. Step 3: Cross multiply
    275,662x = 600,548 × 600,548
  4. Step 4: Simplify right side
    275,662x = 360,657,900,304
  5. Step 5: Solve for x
    x = 360,657,900,304/275,662
  6. Step 6: Final answer
    x = 1,308,333.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.