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Finding the Third Proportional to 504,911.75 and 757,366

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Solution

The third proportional to 504,911.75 and 757,366 is: 1,136,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,911.75 : 757,366 = 757,366 : x
  2. Step 2: Convert to fraction form
    504,911.75/757,366 = 757,366/x
  3. Step 3: Cross multiply
    504,911.75x = 757,366 × 757,366
  4. Step 4: Simplify right side
    504,911.75x = 573,603,257,956
  5. Step 5: Solve for x
    x = 573,603,257,956/504,911.75
  6. Step 6: Final answer
    x = 1,136,046.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.