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Finding the Third Proportional to 408,685.50 and 873,463.50

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Solution

The third proportional to 408,685.50 and 873,463.50 is: 1,866,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,685.50 : 873,463.50 = 873,463.50 : x
  2. Step 2: Convert to fraction form
    408,685.50/873,463.50 = 873,463.50/x
  3. Step 3: Cross multiply
    408,685.50x = 873,463.50 × 873,463.50
  4. Step 4: Simplify right side
    408,685.50x = 762,938,485,832.25
  5. Step 5: Solve for x
    x = 762,938,485,832.25/408,685.50
  6. Step 6: Final answer
    x = 1,866,810.75

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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.