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Finding the Third Proportional to 216,948 and 471,213

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Solution

The third proportional to 216,948 and 471,213 is: 1,023,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,948 : 471,213 = 471,213 : x
  2. Step 2: Convert to fraction form
    216,948/471,213 = 471,213/x
  3. Step 3: Cross multiply
    216,948x = 471,213 × 471,213
  4. Step 4: Simplify right side
    216,948x = 222,041,691,369
  5. Step 5: Solve for x
    x = 222,041,691,369/216,948
  6. Step 6: Final answer
    x = 1,023,478.86

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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.