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Finding the Third Proportional to 388,291.50 and 906,891.75

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Solution

The third proportional to 388,291.50 and 906,891.75 is: 2,118,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,291.50 : 906,891.75 = 906,891.75 : x
  2. Step 2: Convert to fraction form
    388,291.50/906,891.75 = 906,891.75/x
  3. Step 3: Cross multiply
    388,291.50x = 906,891.75 × 906,891.75
  4. Step 4: Simplify right side
    388,291.50x = 822,452,646,218.06
  5. Step 5: Solve for x
    x = 822,452,646,218.06/388,291.50
  6. Step 6: Final answer
    x = 2,118,131.99

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.