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Finding the Third Proportional to 204,228 and 448,728

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Solution

The third proportional to 204,228 and 448,728 is: 985,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,228 : 448,728 = 448,728 : x
  2. Step 2: Convert to fraction form
    204,228/448,728 = 448,728/x
  3. Step 3: Cross multiply
    204,228x = 448,728 × 448,728
  4. Step 4: Simplify right side
    204,228x = 201,356,817,984
  5. Step 5: Solve for x
    x = 201,356,817,984/204,228
  6. Step 6: Final answer
    x = 985,941.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.