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Finding the Third Proportional to 422,888.50 and 880,767

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Solution

The third proportional to 422,888.50 and 880,767 is: 1,834,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,888.50 : 880,767 = 880,767 : x
  2. Step 2: Convert to fraction form
    422,888.50/880,767 = 880,767/x
  3. Step 3: Cross multiply
    422,888.50x = 880,767 × 880,767
  4. Step 4: Simplify right side
    422,888.50x = 775,750,508,289
  5. Step 5: Solve for x
    x = 775,750,508,289/422,888.50
  6. Step 6: Final answer
    x = 1,834,409.09

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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.