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Finding the Third Proportional to 304,321.50 and 474,906

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Solution

The third proportional to 304,321.50 and 474,906 is: 741,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,321.50 : 474,906 = 474,906 : x
  2. Step 2: Convert to fraction form
    304,321.50/474,906 = 474,906/x
  3. Step 3: Cross multiply
    304,321.50x = 474,906 × 474,906
  4. Step 4: Simplify right side
    304,321.50x = 225,535,708,836
  5. Step 5: Solve for x
    x = 225,535,708,836/304,321.50
  6. Step 6: Final answer
    x = 741,110.01

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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.