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Finding the Third Proportional to 254,842 and 404,864

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Solution

The third proportional to 254,842 and 404,864 is: 643,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,842 : 404,864 = 404,864 : x
  2. Step 2: Convert to fraction form
    254,842/404,864 = 404,864/x
  3. Step 3: Cross multiply
    254,842x = 404,864 × 404,864
  4. Step 4: Simplify right side
    254,842x = 163,914,858,496
  5. Step 5: Solve for x
    x = 163,914,858,496/254,842
  6. Step 6: Final answer
    x = 643,201.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.