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Finding the Third Proportional to 201,838 and 475,788

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Solution

The third proportional to 201,838 and 475,788 is: 1,121,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838 : 475,788 = 475,788 : x
  2. Step 2: Convert to fraction form
    201,838/475,788 = 475,788/x
  3. Step 3: Cross multiply
    201,838x = 475,788 × 475,788
  4. Step 4: Simplify right side
    201,838x = 226,374,220,944
  5. Step 5: Solve for x
    x = 226,374,220,944/201,838
  6. Step 6: Final answer
    x = 1,121,563.93

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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.