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Finding the Third Proportional to 380,178 and 806,796

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Solution

The third proportional to 380,178 and 806,796 is: 1,712,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,178 : 806,796 = 806,796 : x
  2. Step 2: Convert to fraction form
    380,178/806,796 = 806,796/x
  3. Step 3: Cross multiply
    380,178x = 806,796 × 806,796
  4. Step 4: Simplify right side
    380,178x = 650,919,785,616
  5. Step 5: Solve for x
    x = 650,919,785,616/380,178
  6. Step 6: Final answer
    x = 1,712,144.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.