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Finding the Third Proportional to 256,824.75 and 399,225.56

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Solution

The third proportional to 256,824.75 and 399,225.56 is: 620,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,824.75 : 399,225.56 = 399,225.56 : x
  2. Step 2: Convert to fraction form
    256,824.75/399,225.56 = 399,225.56/x
  3. Step 3: Cross multiply
    256,824.75x = 399,225.56 × 399,225.56
  4. Step 4: Simplify right side
    256,824.75x = 159,381,049,753.44
  5. Step 5: Solve for x
    x = 159,381,049,753.44/256,824.75
  6. Step 6: Final answer
    x = 620,582.91

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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.