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Finding the Third Proportional to 218,846 and 476,035

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Solution

The third proportional to 218,846 and 476,035 is: 1,035,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,846 : 476,035 = 476,035 : x
  2. Step 2: Convert to fraction form
    218,846/476,035 = 476,035/x
  3. Step 3: Cross multiply
    218,846x = 476,035 × 476,035
  4. Step 4: Simplify right side
    218,846x = 226,609,321,225
  5. Step 5: Solve for x
    x = 226,609,321,225/218,846
  6. Step 6: Final answer
    x = 1,035,473.90

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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.