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Finding the Third Proportional to 204,772 and 448,911

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Solution

The third proportional to 204,772 and 448,911 is: 984,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,772 : 448,911 = 448,911 : x
  2. Step 2: Convert to fraction form
    204,772/448,911 = 448,911/x
  3. Step 3: Cross multiply
    204,772x = 448,911 × 448,911
  4. Step 4: Simplify right side
    204,772x = 201,521,085,921
  5. Step 5: Solve for x
    x = 201,521,085,921/204,772
  6. Step 6: Final answer
    x = 984,124.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.