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Finding the Third Proportional to 256,212 and 377,694

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Solution

The third proportional to 256,212 and 377,694 is: 556,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,212 : 377,694 = 377,694 : x
  2. Step 2: Convert to fraction form
    256,212/377,694 = 377,694/x
  3. Step 3: Cross multiply
    256,212x = 377,694 × 377,694
  4. Step 4: Simplify right side
    256,212x = 142,652,757,636
  5. Step 5: Solve for x
    x = 142,652,757,636/256,212
  6. Step 6: Final answer
    x = 556,776.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.