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Finding the Third Proportional to 382,614.75 and 571,923

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Solution

The third proportional to 382,614.75 and 571,923 is: 854,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,614.75 : 571,923 = 571,923 : x
  2. Step 2: Convert to fraction form
    382,614.75/571,923 = 571,923/x
  3. Step 3: Cross multiply
    382,614.75x = 571,923 × 571,923
  4. Step 4: Simplify right side
    382,614.75x = 327,095,917,929
  5. Step 5: Solve for x
    x = 327,095,917,929/382,614.75
  6. Step 6: Final answer
    x = 854,896.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.