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Finding the Third Proportional to 431,464.50 and 675,366.75

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Solution

The third proportional to 431,464.50 and 675,366.75 is: 1,057,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,464.50 : 675,366.75 = 675,366.75 : x
  2. Step 2: Convert to fraction form
    431,464.50/675,366.75 = 675,366.75/x
  3. Step 3: Cross multiply
    431,464.50x = 675,366.75 × 675,366.75
  4. Step 4: Simplify right side
    431,464.50x = 456,120,247,005.56
  5. Step 5: Solve for x
    x = 456,120,247,005.56/431,464.50
  6. Step 6: Final answer
    x = 1,057,144.32

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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.