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Finding the Third Proportional to 417,876 and 902,250

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Solution

The third proportional to 417,876 and 902,250 is: 1,948,078.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,876 : 902,250 = 902,250 : x
  2. Step 2: Convert to fraction form
    417,876/902,250 = 902,250/x
  3. Step 3: Cross multiply
    417,876x = 902,250 × 902,250
  4. Step 4: Simplify right side
    417,876x = 814,055,062,500
  5. Step 5: Solve for x
    x = 814,055,062,500/417,876
  6. Step 6: Final answer
    x = 1,948,078.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.