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Finding the Third Proportional to 232,884 and 501,444

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Solution

The third proportional to 232,884 and 501,444 is: 1,079,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,884 : 501,444 = 501,444 : x
  2. Step 2: Convert to fraction form
    232,884/501,444 = 501,444/x
  3. Step 3: Cross multiply
    232,884x = 501,444 × 501,444
  4. Step 4: Simplify right side
    232,884x = 251,446,085,136
  5. Step 5: Solve for x
    x = 251,446,085,136/232,884
  6. Step 6: Final answer
    x = 1,079,705.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.