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Finding the Third Proportional to 433,847.25 and 888,835.50

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Solution

The third proportional to 433,847.25 and 888,835.50 is: 1,820,983.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,847.25 : 888,835.50 = 888,835.50 : x
  2. Step 2: Convert to fraction form
    433,847.25/888,835.50 = 888,835.50/x
  3. Step 3: Cross multiply
    433,847.25x = 888,835.50 × 888,835.50
  4. Step 4: Simplify right side
    433,847.25x = 790,028,546,060.25
  5. Step 5: Solve for x
    x = 790,028,546,060.25/433,847.25
  6. Step 6: Final answer
    x = 1,820,983.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.