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Finding the Third Proportional to 201,818 and 475,738

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Solution

The third proportional to 201,818 and 475,738 is: 1,121,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,818 : 475,738 = 475,738 : x
  2. Step 2: Convert to fraction form
    201,818/475,738 = 475,738/x
  3. Step 3: Cross multiply
    201,818x = 475,738 × 475,738
  4. Step 4: Simplify right side
    201,818x = 226,326,644,644
  5. Step 5: Solve for x
    x = 226,326,644,644/201,818
  6. Step 6: Final answer
    x = 1,121,439.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.