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Finding the Third Proportional to 200,426.06 and 417,436.31

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Solution

The third proportional to 200,426.06 and 417,436.31 is: 869,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,426.06 : 417,436.31 = 417,436.31 : x
  2. Step 2: Convert to fraction form
    200,426.06/417,436.31 = 417,436.31/x
  3. Step 3: Cross multiply
    200,426.06x = 417,436.31 × 417,436.31
  4. Step 4: Simplify right side
    200,426.06x = 174,253,074,993.60
  5. Step 5: Solve for x
    x = 174,253,074,993.60/200,426.06
  6. Step 6: Final answer
    x = 869,413.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.