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Finding the Third Proportional to 209,174.25 and 430,727.25

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Solution

The third proportional to 209,174.25 and 430,727.25 is: 886,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,174.25 : 430,727.25 = 430,727.25 : x
  2. Step 2: Convert to fraction form
    209,174.25/430,727.25 = 430,727.25/x
  3. Step 3: Cross multiply
    209,174.25x = 430,727.25 × 430,727.25
  4. Step 4: Simplify right side
    209,174.25x = 185,525,963,892.56
  5. Step 5: Solve for x
    x = 185,525,963,892.56/209,174.25
  6. Step 6: Final answer
    x = 886,944.56

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.