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Finding the Third Proportional to 273,842 and 592,612

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Solution

The third proportional to 273,842 and 592,612 is: 1,282,451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,842 : 592,612 = 592,612 : x
  2. Step 2: Convert to fraction form
    273,842/592,612 = 592,612/x
  3. Step 3: Cross multiply
    273,842x = 592,612 × 592,612
  4. Step 4: Simplify right side
    273,842x = 351,188,982,544
  5. Step 5: Solve for x
    x = 351,188,982,544/273,842
  6. Step 6: Final answer
    x = 1,282,451.13

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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.