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Finding the Third Proportional to 467,205.75 and 734,010.75

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Solution

The third proportional to 467,205.75 and 734,010.75 is: 1,153,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,205.75 : 734,010.75 = 734,010.75 : x
  2. Step 2: Convert to fraction form
    467,205.75/734,010.75 = 734,010.75/x
  3. Step 3: Cross multiply
    467,205.75x = 734,010.75 × 734,010.75
  4. Step 4: Simplify right side
    467,205.75x = 538,771,781,115.56
  5. Step 5: Solve for x
    x = 538,771,781,115.56/467,205.75
  6. Step 6: Final answer
    x = 1,153,178.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.