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Finding the Third Proportional to 414,163.13 and 997,477.03

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Solution

The third proportional to 414,163.13 and 997,477.03 is: 2,402,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,163.13 : 997,477.03 = 997,477.03 : x
  2. Step 2: Convert to fraction form
    414,163.13/997,477.03 = 997,477.03/x
  3. Step 3: Cross multiply
    414,163.13x = 997,477.03 × 997,477.03
  4. Step 4: Simplify right side
    414,163.13x = 994,960,427,871.31
  5. Step 5: Solve for x
    x = 994,960,427,871.31/414,163.13
  6. Step 6: Final answer
    x = 2,402,339.48

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.