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Finding the Third Proportional to 304,823 and 474,684

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Solution

The third proportional to 304,823 and 474,684 is: 739,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,823 : 474,684 = 474,684 : x
  2. Step 2: Convert to fraction form
    304,823/474,684 = 474,684/x
  3. Step 3: Cross multiply
    304,823x = 474,684 × 474,684
  4. Step 4: Simplify right side
    304,823x = 225,324,899,856
  5. Step 5: Solve for x
    x = 225,324,899,856/304,823
  6. Step 6: Final answer
    x = 739,199.14

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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.