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Finding the Third Proportional to 374,233 and 902,251

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Solution

The third proportional to 374,233 and 902,251 is: 2,175,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,233 : 902,251 = 902,251 : x
  2. Step 2: Convert to fraction form
    374,233/902,251 = 902,251/x
  3. Step 3: Cross multiply
    374,233x = 902,251 × 902,251
  4. Step 4: Simplify right side
    374,233x = 814,056,867,001
  5. Step 5: Solve for x
    x = 814,056,867,001/374,233
  6. Step 6: Final answer
    x = 2,175,267.46

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.