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Finding the Third Proportional to 241,736.50 and 523,649

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Solution

The third proportional to 241,736.50 and 523,649 is: 1,134,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,736.50 : 523,649 = 523,649 : x
  2. Step 2: Convert to fraction form
    241,736.50/523,649 = 523,649/x
  3. Step 3: Cross multiply
    241,736.50x = 523,649 × 523,649
  4. Step 4: Simplify right side
    241,736.50x = 274,208,275,201
  5. Step 5: Solve for x
    x = 274,208,275,201/241,736.50
  6. Step 6: Final answer
    x = 1,134,327.15

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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.