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Finding the Third Proportional to 270,864 and 591,696

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Solution

The third proportional to 270,864 and 591,696 is: 1,292,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,864 : 591,696 = 591,696 : x
  2. Step 2: Convert to fraction form
    270,864/591,696 = 591,696/x
  3. Step 3: Cross multiply
    270,864x = 591,696 × 591,696
  4. Step 4: Simplify right side
    270,864x = 350,104,156,416
  5. Step 5: Solve for x
    x = 350,104,156,416/270,864
  6. Step 6: Final answer
    x = 1,292,545.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.