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Finding the Third Proportional to 304,323.75 and 474,908.91

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Solution

The third proportional to 304,323.75 and 474,908.91 is: 741,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,323.75 : 474,908.91 = 474,908.91 : x
  2. Step 2: Convert to fraction form
    304,323.75/474,908.91 = 474,908.91/x
  3. Step 3: Cross multiply
    304,323.75x = 474,908.91 × 474,908.91
  4. Step 4: Simplify right side
    304,323.75x = 225,538,469,235.57
  5. Step 5: Solve for x
    x = 225,538,469,235.57/304,323.75
  6. Step 6: Final answer
    x = 741,113.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.