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Finding the Third Proportional to 222,562 and 471,611

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Solution

The third proportional to 222,562 and 471,611 is: 999,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,562 : 471,611 = 471,611 : x
  2. Step 2: Convert to fraction form
    222,562/471,611 = 471,611/x
  3. Step 3: Cross multiply
    222,562x = 471,611 × 471,611
  4. Step 4: Simplify right side
    222,562x = 222,416,935,321
  5. Step 5: Solve for x
    x = 222,416,935,321/222,562
  6. Step 6: Final answer
    x = 999,348.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.