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Finding the Third Proportional to 454,470.75 and 672,922.69

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Solution

The third proportional to 454,470.75 and 672,922.69 is: 996,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,470.75 : 672,922.69 = 672,922.69 : x
  2. Step 2: Convert to fraction form
    454,470.75/672,922.69 = 672,922.69/x
  3. Step 3: Cross multiply
    454,470.75x = 672,922.69 × 672,922.69
  4. Step 4: Simplify right side
    454,470.75x = 452,824,943,352.22
  5. Step 5: Solve for x
    x = 452,824,943,352.22/454,470.75
  6. Step 6: Final answer
    x = 996,378.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.