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Finding the Third Proportional to 275,631 and 593,488

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Solution

The third proportional to 275,631 and 593,488 is: 1,277,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,631 : 593,488 = 593,488 : x
  2. Step 2: Convert to fraction form
    275,631/593,488 = 593,488/x
  3. Step 3: Cross multiply
    275,631x = 593,488 × 593,488
  4. Step 4: Simplify right side
    275,631x = 352,228,006,144
  5. Step 5: Solve for x
    x = 352,228,006,144/275,631
  6. Step 6: Final answer
    x = 1,277,896.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.