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Finding the Third Proportional to 454,614.75 and 681,922.25

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Solution

The third proportional to 454,614.75 and 681,922.25 is: 1,022,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,614.75 : 681,922.25 = 681,922.25 : x
  2. Step 2: Convert to fraction form
    454,614.75/681,922.25 = 681,922.25/x
  3. Step 3: Cross multiply
    454,614.75x = 681,922.25 × 681,922.25
  4. Step 4: Simplify right side
    454,614.75x = 465,017,955,045.06
  5. Step 5: Solve for x
    x = 465,017,955,045.06/454,614.75
  6. Step 6: Final answer
    x = 1,022,883.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.