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Finding the Third Proportional to 337,478.06 and 474,639.75

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Solution

The third proportional to 337,478.06 and 474,639.75 is: 667,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,478.06 : 474,639.75 = 474,639.75 : x
  2. Step 2: Convert to fraction form
    337,478.06/474,639.75 = 474,639.75/x
  3. Step 3: Cross multiply
    337,478.06x = 474,639.75 × 474,639.75
  4. Step 4: Simplify right side
    337,478.06x = 225,282,892,280.06
  5. Step 5: Solve for x
    x = 225,282,892,280.06/337,478.06
  6. Step 6: Final answer
    x = 667,548.26

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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.