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Finding the Third Proportional to 271,806 and 552,633.75

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Solution

The third proportional to 271,806 and 552,633.75 is: 1,123,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806 : 552,633.75 = 552,633.75 : x
  2. Step 2: Convert to fraction form
    271,806/552,633.75 = 552,633.75/x
  3. Step 3: Cross multiply
    271,806x = 552,633.75 × 552,633.75
  4. Step 4: Simplify right side
    271,806x = 305,404,061,639.06
  5. Step 5: Solve for x
    x = 305,404,061,639.06/271,806
  6. Step 6: Final answer
    x = 1,123,610.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.