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Finding the Third Proportional to 232,672 and 502,192

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Solution

The third proportional to 232,672 and 502,192 is: 1,083,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,672 : 502,192 = 502,192 : x
  2. Step 2: Convert to fraction form
    232,672/502,192 = 502,192/x
  3. Step 3: Cross multiply
    232,672x = 502,192 × 502,192
  4. Step 4: Simplify right side
    232,672x = 252,196,804,864
  5. Step 5: Solve for x
    x = 252,196,804,864/232,672
  6. Step 6: Final answer
    x = 1,083,915.58

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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.