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Finding the Third Proportional to 256,767 and 399,141

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Solution

The third proportional to 256,767 and 399,141 is: 620,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,767 : 399,141 = 399,141 : x
  2. Step 2: Convert to fraction form
    256,767/399,141 = 399,141/x
  3. Step 3: Cross multiply
    256,767x = 399,141 × 399,141
  4. Step 4: Simplify right side
    256,767x = 159,313,537,881
  5. Step 5: Solve for x
    x = 159,313,537,881/256,767
  6. Step 6: Final answer
    x = 620,459.55

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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.