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Finding the Third Proportional to 275,196.75 and 557,787.75

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Solution

The third proportional to 275,196.75 and 557,787.75 is: 1,130,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,196.75 : 557,787.75 = 557,787.75 : x
  2. Step 2: Convert to fraction form
    275,196.75/557,787.75 = 557,787.75/x
  3. Step 3: Cross multiply
    275,196.75x = 557,787.75 × 557,787.75
  4. Step 4: Simplify right side
    275,196.75x = 311,127,174,050.06
  5. Step 5: Solve for x
    x = 311,127,174,050.06/275,196.75
  6. Step 6: Final answer
    x = 1,130,562.68

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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.