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Finding the Third Proportional to 216,369 and 469,233

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Solution

The third proportional to 216,369 and 469,233 is: 1,017,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,369 : 469,233 = 469,233 : x
  2. Step 2: Convert to fraction form
    216,369/469,233 = 469,233/x
  3. Step 3: Cross multiply
    216,369x = 469,233 × 469,233
  4. Step 4: Simplify right side
    216,369x = 220,179,608,289
  5. Step 5: Solve for x
    x = 220,179,608,289/216,369
  6. Step 6: Final answer
    x = 1,017,611.62

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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.