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Finding the Third Proportional to 232,199 and 478,851

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Solution

The third proportional to 232,199 and 478,851 is: 987,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,199 : 478,851 = 478,851 : x
  2. Step 2: Convert to fraction form
    232,199/478,851 = 478,851/x
  3. Step 3: Cross multiply
    232,199x = 478,851 × 478,851
  4. Step 4: Simplify right side
    232,199x = 229,298,280,201
  5. Step 5: Solve for x
    x = 229,298,280,201/232,199
  6. Step 6: Final answer
    x = 987,507.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.