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Finding the Third Proportional to 254,424 and 404,112

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Solution

The third proportional to 254,424 and 404,112 is: 641,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,424 : 404,112 = 404,112 : x
  2. Step 2: Convert to fraction form
    254,424/404,112 = 404,112/x
  3. Step 3: Cross multiply
    254,424x = 404,112 × 404,112
  4. Step 4: Simplify right side
    254,424x = 163,306,508,544
  5. Step 5: Solve for x
    x = 163,306,508,544/254,424
  6. Step 6: Final answer
    x = 641,867.55

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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.