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Finding the Third Proportional to 256,347.75 and 397,956.75

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Solution

The third proportional to 256,347.75 and 397,956.75 is: 617,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,347.75 : 397,956.75 = 397,956.75 : x
  2. Step 2: Convert to fraction form
    256,347.75/397,956.75 = 397,956.75/x
  3. Step 3: Cross multiply
    256,347.75x = 397,956.75 × 397,956.75
  4. Step 4: Simplify right side
    256,347.75x = 158,369,574,870.56
  5. Step 5: Solve for x
    x = 158,369,574,870.56/256,347.75
  6. Step 6: Final answer
    x = 617,791.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.