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Finding the Third Proportional to 305,338.50 and 433,404

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Solution

The third proportional to 305,338.50 and 433,404 is: 615,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,338.50 : 433,404 = 433,404 : x
  2. Step 2: Convert to fraction form
    305,338.50/433,404 = 433,404/x
  3. Step 3: Cross multiply
    305,338.50x = 433,404 × 433,404
  4. Step 4: Simplify right side
    305,338.50x = 187,839,027,216
  5. Step 5: Solve for x
    x = 187,839,027,216/305,338.50
  6. Step 6: Final answer
    x = 615,182.91

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.