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Finding the Third Proportional to 422,277.75 and 918,216

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Solution

The third proportional to 422,277.75 and 918,216 is: 1,996,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,277.75 : 918,216 = 918,216 : x
  2. Step 2: Convert to fraction form
    422,277.75/918,216 = 918,216/x
  3. Step 3: Cross multiply
    422,277.75x = 918,216 × 918,216
  4. Step 4: Simplify right side
    422,277.75x = 843,120,622,656
  5. Step 5: Solve for x
    x = 843,120,622,656/422,277.75
  6. Step 6: Final answer
    x = 1,996,602.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.