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Finding the Third Proportional to 274,080 and 610,443

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Solution

The third proportional to 274,080 and 610,443 is: 1,359,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,080 : 610,443 = 610,443 : x
  2. Step 2: Convert to fraction form
    274,080/610,443 = 610,443/x
  3. Step 3: Cross multiply
    274,080x = 610,443 × 610,443
  4. Step 4: Simplify right side
    274,080x = 372,640,656,249
  5. Step 5: Solve for x
    x = 372,640,656,249/274,080
  6. Step 6: Final answer
    x = 1,359,605.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.