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Finding the Third Proportional to 256,792 and 399,176

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Solution

The third proportional to 256,792 and 399,176 is: 620,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,792 : 399,176 = 399,176 : x
  2. Step 2: Convert to fraction form
    256,792/399,176 = 399,176/x
  3. Step 3: Cross multiply
    256,792x = 399,176 × 399,176
  4. Step 4: Simplify right side
    256,792x = 159,341,478,976
  5. Step 5: Solve for x
    x = 159,341,478,976/256,792
  6. Step 6: Final answer
    x = 620,507.96

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