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Finding the Third Proportional to 236,924 and 500,456

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Solution

The third proportional to 236,924 and 500,456 is: 1,057,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,924 : 500,456 = 500,456 : x
  2. Step 2: Convert to fraction form
    236,924/500,456 = 500,456/x
  3. Step 3: Cross multiply
    236,924x = 500,456 × 500,456
  4. Step 4: Simplify right side
    236,924x = 250,456,207,936
  5. Step 5: Solve for x
    x = 250,456,207,936/236,924
  6. Step 6: Final answer
    x = 1,057,116.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.