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Finding the Third Proportional to 235,696 and 512,374

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Solution

The third proportional to 235,696 and 512,374 is: 1,113,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,696 : 512,374 = 512,374 : x
  2. Step 2: Convert to fraction form
    235,696/512,374 = 512,374/x
  3. Step 3: Cross multiply
    235,696x = 512,374 × 512,374
  4. Step 4: Simplify right side
    235,696x = 262,527,115,876
  5. Step 5: Solve for x
    x = 262,527,115,876/235,696
  6. Step 6: Final answer
    x = 1,113,837.81

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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.