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Finding the Third Proportional to 275,648 and 600,520

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Solution

The third proportional to 275,648 and 600,520 is: 1,308,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,648 : 600,520 = 600,520 : x
  2. Step 2: Convert to fraction form
    275,648/600,520 = 600,520/x
  3. Step 3: Cross multiply
    275,648x = 600,520 × 600,520
  4. Step 4: Simplify right side
    275,648x = 360,624,270,400
  5. Step 5: Solve for x
    x = 360,624,270,400/275,648
  6. Step 6: Final answer
    x = 1,308,278.20

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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.