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Finding the Third Proportional to 253,761 and 551,250

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Solution

The third proportional to 253,761 and 551,250 is: 1,197,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,761 : 551,250 = 551,250 : x
  2. Step 2: Convert to fraction form
    253,761/551,250 = 551,250/x
  3. Step 3: Cross multiply
    253,761x = 551,250 × 551,250
  4. Step 4: Simplify right side
    253,761x = 303,876,562,500
  5. Step 5: Solve for x
    x = 303,876,562,500/253,761
  6. Step 6: Final answer
    x = 1,197,491.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.