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Finding the Third Proportional to 221,808 and 476,826

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Solution

The third proportional to 221,808 and 476,826 is: 1,025,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,808 : 476,826 = 476,826 : x
  2. Step 2: Convert to fraction form
    221,808/476,826 = 476,826/x
  3. Step 3: Cross multiply
    221,808x = 476,826 × 476,826
  4. Step 4: Simplify right side
    221,808x = 227,363,034,276
  5. Step 5: Solve for x
    x = 227,363,034,276/221,808
  6. Step 6: Final answer
    x = 1,025,044.34

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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.