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Finding the Third Proportional to 216,213 and 471,793

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Solution

The third proportional to 216,213 and 471,793 is: 1,029,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,213 : 471,793 = 471,793 : x
  2. Step 2: Convert to fraction form
    216,213/471,793 = 471,793/x
  3. Step 3: Cross multiply
    216,213x = 471,793 × 471,793
  4. Step 4: Simplify right side
    216,213x = 222,588,634,849
  5. Step 5: Solve for x
    x = 222,588,634,849/216,213
  6. Step 6: Final answer
    x = 1,029,487.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.