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Finding the Third Proportional to 215,284 and 466,856

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Solution

The third proportional to 215,284 and 466,856 is: 1,012,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,284 : 466,856 = 466,856 : x
  2. Step 2: Convert to fraction form
    215,284/466,856 = 466,856/x
  3. Step 3: Cross multiply
    215,284x = 466,856 × 466,856
  4. Step 4: Simplify right side
    215,284x = 217,954,524,736
  5. Step 5: Solve for x
    x = 217,954,524,736/215,284
  6. Step 6: Final answer
    x = 1,012,404.66

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