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Finding the Third Proportional to 304,329 and 474,916

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Solution

The third proportional to 304,329 and 474,916 is: 741,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,329 : 474,916 = 474,916 : x
  2. Step 2: Convert to fraction form
    304,329/474,916 = 474,916/x
  3. Step 3: Cross multiply
    304,329x = 474,916 × 474,916
  4. Step 4: Simplify right side
    304,329x = 225,545,207,056
  5. Step 5: Solve for x
    x = 225,545,207,056/304,329
  6. Step 6: Final answer
    x = 741,122.95

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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.