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Finding the Third Proportional to 454,615.25 and 681,923

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Solution

The third proportional to 454,615.25 and 681,923 is: 1,022,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,615.25 : 681,923 = 681,923 : x
  2. Step 2: Convert to fraction form
    454,615.25/681,923 = 681,923/x
  3. Step 3: Cross multiply
    454,615.25x = 681,923 × 681,923
  4. Step 4: Simplify right side
    454,615.25x = 465,018,977,929
  5. Step 5: Solve for x
    x = 465,018,977,929/454,615.25
  6. Step 6: Final answer
    x = 1,022,884.69

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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.