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Finding the Third Proportional to 395,980.50 and 593,983.88

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Solution

The third proportional to 395,980.50 and 593,983.88 is: 890,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,980.50 : 593,983.88 = 593,983.88 : x
  2. Step 2: Convert to fraction form
    395,980.50/593,983.88 = 593,983.88/x
  3. Step 3: Cross multiply
    395,980.50x = 593,983.88 × 593,983.88
  4. Step 4: Simplify right side
    395,980.50x = 352,816,843,760.02
  5. Step 5: Solve for x
    x = 352,816,843,760.02/395,980.50
  6. Step 6: Final answer
    x = 890,995.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.