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Finding the Third Proportional to 408,084.75 and 875,137.50

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Solution

The third proportional to 408,084.75 and 875,137.50 is: 1,876,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,084.75 : 875,137.50 = 875,137.50 : x
  2. Step 2: Convert to fraction form
    408,084.75/875,137.50 = 875,137.50/x
  3. Step 3: Cross multiply
    408,084.75x = 875,137.50 × 875,137.50
  4. Step 4: Simplify right side
    408,084.75x = 765,865,643,906.25
  5. Step 5: Solve for x
    x = 765,865,643,906.25/408,084.75
  6. Step 6: Final answer
    x = 1,876,731.84

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