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Finding the Third Proportional to 369,936.56 and 806,821.31

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Solution

The third proportional to 369,936.56 and 806,821.31 is: 1,759,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,936.56 : 806,821.31 = 806,821.31 : x
  2. Step 2: Convert to fraction form
    369,936.56/806,821.31 = 806,821.31/x
  3. Step 3: Cross multiply
    369,936.56x = 806,821.31 × 806,821.31
  4. Step 4: Simplify right side
    369,936.56x = 650,960,630,304.22
  5. Step 5: Solve for x
    x = 650,960,630,304.22/369,936.56
  6. Step 6: Final answer
    x = 1,759,654.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.