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Finding the Third Proportional to 270,361.50 and 557,859

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Solution

The third proportional to 270,361.50 and 557,859 is: 1,151,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,361.50 : 557,859 = 557,859 : x
  2. Step 2: Convert to fraction form
    270,361.50/557,859 = 557,859/x
  3. Step 3: Cross multiply
    270,361.50x = 557,859 × 557,859
  4. Step 4: Simplify right side
    270,361.50x = 311,206,663,881
  5. Step 5: Solve for x
    x = 311,206,663,881/270,361.50
  6. Step 6: Final answer
    x = 1,151,076.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.