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Finding the Third Proportional to 273,342 and 591,612

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Solution

The third proportional to 273,342 and 591,612 is: 1,280,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,342 : 591,612 = 591,612 : x
  2. Step 2: Convert to fraction form
    273,342/591,612 = 591,612/x
  3. Step 3: Cross multiply
    273,342x = 591,612 × 591,612
  4. Step 4: Simplify right side
    273,342x = 350,004,758,544
  5. Step 5: Solve for x
    x = 350,004,758,544/273,342
  6. Step 6: Final answer
    x = 1,280,464.61

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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.