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Finding the Third Proportional to 221,771 and 476,752

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Solution

The third proportional to 221,771 and 476,752 is: 1,024,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,771 : 476,752 = 476,752 : x
  2. Step 2: Convert to fraction form
    221,771/476,752 = 476,752/x
  3. Step 3: Cross multiply
    221,771x = 476,752 × 476,752
  4. Step 4: Simplify right side
    221,771x = 227,292,469,504
  5. Step 5: Solve for x
    x = 227,292,469,504/221,771
  6. Step 6: Final answer
    x = 1,024,897.17

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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.