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Finding the Third Proportional to 216,322 and 469,147

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Solution

The third proportional to 216,322 and 469,147 is: 1,017,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,322 : 469,147 = 469,147 : x
  2. Step 2: Convert to fraction form
    216,322/469,147 = 469,147/x
  3. Step 3: Cross multiply
    216,322x = 469,147 × 469,147
  4. Step 4: Simplify right side
    216,322x = 220,098,907,609
  5. Step 5: Solve for x
    x = 220,098,907,609/216,322
  6. Step 6: Final answer
    x = 1,017,459.66

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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.