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Finding the Third Proportional to 218,864 and 452,893

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Solution

The third proportional to 218,864 and 452,893 is: 937,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,864 : 452,893 = 452,893 : x
  2. Step 2: Convert to fraction form
    218,864/452,893 = 452,893/x
  3. Step 3: Cross multiply
    218,864x = 452,893 × 452,893
  4. Step 4: Simplify right side
    218,864x = 205,112,069,449
  5. Step 5: Solve for x
    x = 205,112,069,449/218,864
  6. Step 6: Final answer
    x = 937,166.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.