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Finding the Third Proportional to 204,248 and 448,813

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Solution

The third proportional to 204,248 and 448,813 is: 986,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,248 : 448,813 = 448,813 : x
  2. Step 2: Convert to fraction form
    204,248/448,813 = 448,813/x
  3. Step 3: Cross multiply
    204,248x = 448,813 × 448,813
  4. Step 4: Simplify right side
    204,248x = 201,433,108,969
  5. Step 5: Solve for x
    x = 201,433,108,969/204,248
  6. Step 6: Final answer
    x = 986,218.27

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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.