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Finding the Third Proportional to 408,467.81 and 873,023.06

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Solution

The third proportional to 408,467.81 and 873,023.06 is: 1,865,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,467.81 : 873,023.06 = 873,023.06 : x
  2. Step 2: Convert to fraction form
    408,467.81/873,023.06 = 873,023.06/x
  3. Step 3: Cross multiply
    408,467.81x = 873,023.06 × 873,023.06
  4. Step 4: Simplify right side
    408,467.81x = 762,169,267,656.88
  5. Step 5: Solve for x
    x = 762,169,267,656.88/408,467.81
  6. Step 6: Final answer
    x = 1,865,922.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.