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Finding the Third Proportional to 204,299 and 474,752

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Solution

The third proportional to 204,299 and 474,752 is: 1,103,233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,299 : 474,752 = 474,752 : x
  2. Step 2: Convert to fraction form
    204,299/474,752 = 474,752/x
  3. Step 3: Cross multiply
    204,299x = 474,752 × 474,752
  4. Step 4: Simplify right side
    204,299x = 225,389,461,504
  5. Step 5: Solve for x
    x = 225,389,461,504/204,299
  6. Step 6: Final answer
    x = 1,103,233.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.