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Finding the Third Proportional to 467,881.50 and 743,814.75

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Solution

The third proportional to 467,881.50 and 743,814.75 is: 1,182,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,881.50 : 743,814.75 = 743,814.75 : x
  2. Step 2: Convert to fraction form
    467,881.50/743,814.75 = 743,814.75/x
  3. Step 3: Cross multiply
    467,881.50x = 743,814.75 × 743,814.75
  4. Step 4: Simplify right side
    467,881.50x = 553,260,382,317.56
  5. Step 5: Solve for x
    x = 553,260,382,317.56/467,881.50
  6. Step 6: Final answer
    x = 1,182,479.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.