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Finding the Third Proportional to 337,466.25 and 474,624.56

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Solution

The third proportional to 337,466.25 and 474,624.56 is: 667,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,466.25 : 474,624.56 = 474,624.56 : x
  2. Step 2: Convert to fraction form
    337,466.25/474,624.56 = 474,624.56/x
  3. Step 3: Cross multiply
    337,466.25x = 474,624.56 × 474,624.56
  4. Step 4: Simplify right side
    337,466.25x = 225,268,475,328.32
  5. Step 5: Solve for x
    x = 225,268,475,328.32/337,466.25
  6. Step 6: Final answer
    x = 667,528.90

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Why These Related Problems?

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