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Finding the Third Proportional to 201,838 and 475,789

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Solution

The third proportional to 201,838 and 475,789 is: 1,121,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838 : 475,789 = 475,789 : x
  2. Step 2: Convert to fraction form
    201,838/475,789 = 475,789/x
  3. Step 3: Cross multiply
    201,838x = 475,789 × 475,789
  4. Step 4: Simplify right side
    201,838x = 226,375,172,521
  5. Step 5: Solve for x
    x = 226,375,172,521/201,838
  6. Step 6: Final answer
    x = 1,121,568.65

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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.