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Finding the Third Proportional to 422,870.63 and 880,733.25

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Solution

The third proportional to 422,870.63 and 880,733.25 is: 1,834,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,870.63 : 880,733.25 = 880,733.25 : x
  2. Step 2: Convert to fraction form
    422,870.63/880,733.25 = 880,733.25/x
  3. Step 3: Cross multiply
    422,870.63x = 880,733.25 × 880,733.25
  4. Step 4: Simplify right side
    422,870.63x = 775,691,057,655.56
  5. Step 5: Solve for x
    x = 775,691,057,655.56/422,870.63
  6. Step 6: Final answer
    x = 1,834,346.04

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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.