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Finding the Third Proportional to 216,947 and 467,233

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Solution

The third proportional to 216,947 and 467,233 is: 1,006,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,947 : 467,233 = 467,233 : x
  2. Step 2: Convert to fraction form
    216,947/467,233 = 467,233/x
  3. Step 3: Cross multiply
    216,947x = 467,233 × 467,233
  4. Step 4: Simplify right side
    216,947x = 218,306,676,289
  5. Step 5: Solve for x
    x = 218,306,676,289/216,947
  6. Step 6: Final answer
    x = 1,006,267.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.