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Finding the Third Proportional to 422,972.50 and 880,800

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Solution

The third proportional to 422,972.50 and 880,800 is: 1,834,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,972.50 : 880,800 = 880,800 : x
  2. Step 2: Convert to fraction form
    422,972.50/880,800 = 880,800/x
  3. Step 3: Cross multiply
    422,972.50x = 880,800 × 880,800
  4. Step 4: Simplify right side
    422,972.50x = 775,808,640,000
  5. Step 5: Solve for x
    x = 775,808,640,000/422,972.50
  6. Step 6: Final answer
    x = 1,834,182.22

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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.