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Finding the Third Proportional to 304,357.50 and 474,958.69

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Solution

The third proportional to 304,357.50 and 474,958.69 is: 741,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,357.50 : 474,958.69 = 474,958.69 : x
  2. Step 2: Convert to fraction form
    304,357.50/474,958.69 = 474,958.69/x
  3. Step 3: Cross multiply
    304,357.50x = 474,958.69 × 474,958.69
  4. Step 4: Simplify right side
    304,357.50x = 225,585,754,831.72
  5. Step 5: Solve for x
    x = 225,585,754,831.72/304,357.50
  6. Step 6: Final answer
    x = 741,186.78

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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.