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Finding the Third Proportional to 256,816.75 and 399,212.75

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Solution

The third proportional to 256,816.75 and 399,212.75 is: 620,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,816.75 : 399,212.75 = 399,212.75 : x
  2. Step 2: Convert to fraction form
    256,816.75/399,212.75 = 399,212.75/x
  3. Step 3: Cross multiply
    256,816.75x = 399,212.75 × 399,212.75
  4. Step 4: Simplify right side
    256,816.75x = 159,370,819,762.56
  5. Step 5: Solve for x
    x = 159,370,819,762.56/256,816.75
  6. Step 6: Final answer
    x = 620,562.40

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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.