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Finding the Third Proportional to 273,384 and 591,696

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Solution

The third proportional to 273,384 and 591,696 is: 1,280,631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,384 : 591,696 = 591,696 : x
  2. Step 2: Convert to fraction form
    273,384/591,696 = 591,696/x
  3. Step 3: Cross multiply
    273,384x = 591,696 × 591,696
  4. Step 4: Simplify right side
    273,384x = 350,104,156,416
  5. Step 5: Solve for x
    x = 350,104,156,416/273,384
  6. Step 6: Final answer
    x = 1,280,631.48

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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.