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Finding the Third Proportional to 337,521.94 and 474,766.31

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Solution

The third proportional to 337,521.94 and 474,766.31 is: 667,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,521.94 : 474,766.31 = 474,766.31 : x
  2. Step 2: Convert to fraction form
    337,521.94/474,766.31 = 474,766.31/x
  3. Step 3: Cross multiply
    337,521.94x = 474,766.31 × 474,766.31
  4. Step 4: Simplify right side
    337,521.94x = 225,403,051,484.85
  5. Step 5: Solve for x
    x = 225,403,051,484.85/337,521.94
  6. Step 6: Final answer
    x = 667,817.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.