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Finding the Third Proportional to 262,333.69 and 544,380.75

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Solution

The third proportional to 262,333.69 and 544,380.75 is: 1,129,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,333.69 : 544,380.75 = 544,380.75 : x
  2. Step 2: Convert to fraction form
    262,333.69/544,380.75 = 544,380.75/x
  3. Step 3: Cross multiply
    262,333.69x = 544,380.75 × 544,380.75
  4. Step 4: Simplify right side
    262,333.69x = 296,350,400,970.56
  5. Step 5: Solve for x
    x = 296,350,400,970.56/262,333.69
  6. Step 6: Final answer
    x = 1,129,669.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.