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Finding the Third Proportional to 204,799 and 448,963

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Solution

The third proportional to 204,799 and 448,963 is: 984,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,799 : 448,963 = 448,963 : x
  2. Step 2: Convert to fraction form
    204,799/448,963 = 448,963/x
  3. Step 3: Cross multiply
    204,799x = 448,963 × 448,963
  4. Step 4: Simplify right side
    204,799x = 201,567,775,369
  5. Step 5: Solve for x
    x = 201,567,775,369/204,799
  6. Step 6: Final answer
    x = 984,222.46

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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.