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Finding the Third Proportional to 232,866 and 502,824

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Solution

The third proportional to 232,866 and 502,824 is: 1,085,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,866 : 502,824 = 502,824 : x
  2. Step 2: Convert to fraction form
    232,866/502,824 = 502,824/x
  3. Step 3: Cross multiply
    232,866x = 502,824 × 502,824
  4. Step 4: Simplify right side
    232,866x = 252,831,974,976
  5. Step 5: Solve for x
    x = 252,831,974,976/232,866
  6. Step 6: Final answer
    x = 1,085,740.19

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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.