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Finding the Third Proportional to 444,040.31 and 934,498.69

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Solution

The third proportional to 444,040.31 and 934,498.69 is: 1,966,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,040.31 : 934,498.69 = 934,498.69 : x
  2. Step 2: Convert to fraction form
    444,040.31/934,498.69 = 934,498.69/x
  3. Step 3: Cross multiply
    444,040.31x = 934,498.69 × 934,498.69
  4. Step 4: Simplify right side
    444,040.31x = 873,287,796,939.22
  5. Step 5: Solve for x
    x = 873,287,796,939.22/444,040.31
  6. Step 6: Final answer
    x = 1,966,685.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.