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Finding the Third Proportional to 232,512 and 502,212

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Solution

The third proportional to 232,512 and 502,212 is: 1,084,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,512 : 502,212 = 502,212 : x
  2. Step 2: Convert to fraction form
    232,512/502,212 = 502,212/x
  3. Step 3: Cross multiply
    232,512x = 502,212 × 502,212
  4. Step 4: Simplify right side
    232,512x = 252,216,892,944
  5. Step 5: Solve for x
    x = 252,216,892,944/232,512
  6. Step 6: Final answer
    x = 1,084,747.85

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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.