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Finding the Third Proportional to 218,844 and 476,031

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Solution

The third proportional to 218,844 and 476,031 is: 1,035,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,844 : 476,031 = 476,031 : x
  2. Step 2: Convert to fraction form
    218,844/476,031 = 476,031/x
  3. Step 3: Cross multiply
    218,844x = 476,031 × 476,031
  4. Step 4: Simplify right side
    218,844x = 226,605,512,961
  5. Step 5: Solve for x
    x = 226,605,512,961/218,844
  6. Step 6: Final answer
    x = 1,035,465.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.