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Finding the Third Proportional to 408,048 and 875,144

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Solution

The third proportional to 408,048 and 875,144 is: 1,876,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,048 : 875,144 = 875,144 : x
  2. Step 2: Convert to fraction form
    408,048/875,144 = 875,144/x
  3. Step 3: Cross multiply
    408,048x = 875,144 × 875,144
  4. Step 4: Simplify right side
    408,048x = 765,877,020,736
  5. Step 5: Solve for x
    x = 765,877,020,736/408,048
  6. Step 6: Final answer
    x = 1,876,928.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.