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Finding the Third Proportional to 254,731.50 and 534,249

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Solution

The third proportional to 254,731.50 and 534,249 is: 1,120,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,731.50 : 534,249 = 534,249 : x
  2. Step 2: Convert to fraction form
    254,731.50/534,249 = 534,249/x
  3. Step 3: Cross multiply
    254,731.50x = 534,249 × 534,249
  4. Step 4: Simplify right side
    254,731.50x = 285,421,994,001
  5. Step 5: Solve for x
    x = 285,421,994,001/254,731.50
  6. Step 6: Final answer
    x = 1,120,481.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.