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Finding the Third Proportional to 247,112 and 535,696

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Solution

The third proportional to 247,112 and 535,696 is: 1,161,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,112 : 535,696 = 535,696 : x
  2. Step 2: Convert to fraction form
    247,112/535,696 = 535,696/x
  3. Step 3: Cross multiply
    247,112x = 535,696 × 535,696
  4. Step 4: Simplify right side
    247,112x = 286,970,204,416
  5. Step 5: Solve for x
    x = 286,970,204,416/247,112
  6. Step 6: Final answer
    x = 1,161,296.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.