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Finding the Third Proportional to 273,438 and 600,642

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Solution

The third proportional to 273,438 and 600,642 is: 1,319,387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,438 : 600,642 = 600,642 : x
  2. Step 2: Convert to fraction form
    273,438/600,642 = 600,642/x
  3. Step 3: Cross multiply
    273,438x = 600,642 × 600,642
  4. Step 4: Simplify right side
    273,438x = 360,770,812,164
  5. Step 5: Solve for x
    x = 360,770,812,164/273,438
  6. Step 6: Final answer
    x = 1,319,387.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.