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Finding the Third Proportional to 422,983.50 and 880,822

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Solution

The third proportional to 422,983.50 and 880,822 is: 1,834,226.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,983.50 : 880,822 = 880,822 : x
  2. Step 2: Convert to fraction form
    422,983.50/880,822 = 880,822/x
  3. Step 3: Cross multiply
    422,983.50x = 880,822 × 880,822
  4. Step 4: Simplify right side
    422,983.50x = 775,847,395,684
  5. Step 5: Solve for x
    x = 775,847,395,684/422,983.50
  6. Step 6: Final answer
    x = 1,834,226.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.