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Finding the Third Proportional to 221,774 and 476,756

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Solution

The third proportional to 221,774 and 476,756 is: 1,024,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,774 : 476,756 = 476,756 : x
  2. Step 2: Convert to fraction form
    221,774/476,756 = 476,756/x
  3. Step 3: Cross multiply
    221,774x = 476,756 × 476,756
  4. Step 4: Simplify right side
    221,774x = 227,296,283,536
  5. Step 5: Solve for x
    x = 227,296,283,536/221,774
  6. Step 6: Final answer
    x = 1,024,900.50

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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.