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Finding the Third Proportional to 401,033.25 and 891,726.75

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Solution

The third proportional to 401,033.25 and 891,726.75 is: 1,982,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,033.25 : 891,726.75 = 891,726.75 : x
  2. Step 2: Convert to fraction form
    401,033.25/891,726.75 = 891,726.75/x
  3. Step 3: Cross multiply
    401,033.25x = 891,726.75 × 891,726.75
  4. Step 4: Simplify right side
    401,033.25x = 795,176,596,665.56
  5. Step 5: Solve for x
    x = 795,176,596,665.56/401,033.25
  6. Step 6: Final answer
    x = 1,982,819.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.