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Finding the Third Proportional to 263,728 and 565,593

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Solution

The third proportional to 263,728 and 565,593 is: 1,212,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,728 : 565,593 = 565,593 : x
  2. Step 2: Convert to fraction form
    263,728/565,593 = 565,593/x
  3. Step 3: Cross multiply
    263,728x = 565,593 × 565,593
  4. Step 4: Simplify right side
    263,728x = 319,895,441,649
  5. Step 5: Solve for x
    x = 319,895,441,649/263,728
  6. Step 6: Final answer
    x = 1,212,974.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.