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Finding the Third Proportional to 221,068 and 476,696

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Solution

The third proportional to 221,068 and 476,696 is: 1,027,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,068 : 476,696 = 476,696 : x
  2. Step 2: Convert to fraction form
    221,068/476,696 = 476,696/x
  3. Step 3: Cross multiply
    221,068x = 476,696 × 476,696
  4. Step 4: Simplify right side
    221,068x = 227,239,076,416
  5. Step 5: Solve for x
    x = 227,239,076,416/221,068
  6. Step 6: Final answer
    x = 1,027,914.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.