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Finding the Third Proportional to 255,928 and 401,439

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Solution

The third proportional to 255,928 and 401,439 is: 629,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,928 : 401,439 = 401,439 : x
  2. Step 2: Convert to fraction form
    255,928/401,439 = 401,439/x
  3. Step 3: Cross multiply
    255,928x = 401,439 × 401,439
  4. Step 4: Simplify right side
    255,928x = 161,153,270,721
  5. Step 5: Solve for x
    x = 161,153,270,721/255,928
  6. Step 6: Final answer
    x = 629,682.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.