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Finding the Third Proportional to 221,715 and 471,096

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Solution

The third proportional to 221,715 and 471,096 is: 1,000,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,715 : 471,096 = 471,096 : x
  2. Step 2: Convert to fraction form
    221,715/471,096 = 471,096/x
  3. Step 3: Cross multiply
    221,715x = 471,096 × 471,096
  4. Step 4: Simplify right side
    221,715x = 221,931,441,216
  5. Step 5: Solve for x
    x = 221,931,441,216/221,715
  6. Step 6: Final answer
    x = 1,000,976.21

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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.