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Finding the Third Proportional to 408,850.50 and 880,165.50

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Solution

The third proportional to 408,850.50 and 880,165.50 is: 1,894,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,850.50 : 880,165.50 = 880,165.50 : x
  2. Step 2: Convert to fraction form
    408,850.50/880,165.50 = 880,165.50/x
  3. Step 3: Cross multiply
    408,850.50x = 880,165.50 × 880,165.50
  4. Step 4: Simplify right side
    408,850.50x = 774,691,307,390.25
  5. Step 5: Solve for x
    x = 774,691,307,390.25/408,850.50
  6. Step 6: Final answer
    x = 1,894,803.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.