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Finding the Third Proportional to 394,807.50 and 577,469.25

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Solution

The third proportional to 394,807.50 and 577,469.25 is: 844,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,807.50 : 577,469.25 = 577,469.25 : x
  2. Step 2: Convert to fraction form
    394,807.50/577,469.25 = 577,469.25/x
  3. Step 3: Cross multiply
    394,807.50x = 577,469.25 × 577,469.25
  4. Step 4: Simplify right side
    394,807.50x = 333,470,734,695.56
  5. Step 5: Solve for x
    x = 333,470,734,695.56/394,807.50
  6. Step 6: Final answer
    x = 844,641.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.