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Finding the Third Proportional to 226,599 and 476,526

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Solution

The third proportional to 226,599 and 476,526 is: 1,002,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,599 : 476,526 = 476,526 : x
  2. Step 2: Convert to fraction form
    226,599/476,526 = 476,526/x
  3. Step 3: Cross multiply
    226,599x = 476,526 × 476,526
  4. Step 4: Simplify right side
    226,599x = 227,077,028,676
  5. Step 5: Solve for x
    x = 227,077,028,676/226,599
  6. Step 6: Final answer
    x = 1,002,109.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.