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Finding the Third Proportional to 232,832 and 502,762

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Solution

The third proportional to 232,832 and 502,762 is: 1,085,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,832 : 502,762 = 502,762 : x
  2. Step 2: Convert to fraction form
    232,832/502,762 = 502,762/x
  3. Step 3: Cross multiply
    232,832x = 502,762 × 502,762
  4. Step 4: Simplify right side
    232,832x = 252,769,628,644
  5. Step 5: Solve for x
    x = 252,769,628,644/232,832
  6. Step 6: Final answer
    x = 1,085,630.96

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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.