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Finding the Third Proportional to 274,404 and 592,548

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Solution

The third proportional to 274,404 and 592,548 is: 1,279,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,404 : 592,548 = 592,548 : x
  2. Step 2: Convert to fraction form
    274,404/592,548 = 592,548/x
  3. Step 3: Cross multiply
    274,404x = 592,548 × 592,548
  4. Step 4: Simplify right side
    274,404x = 351,113,132,304
  5. Step 5: Solve for x
    x = 351,113,132,304/274,404
  6. Step 6: Final answer
    x = 1,279,548.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.