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Finding the Third Proportional to 201,836 and 475,784

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Solution

The third proportional to 201,836 and 475,784 is: 1,121,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,836 : 475,784 = 475,784 : x
  2. Step 2: Convert to fraction form
    201,836/475,784 = 475,784/x
  3. Step 3: Cross multiply
    201,836x = 475,784 × 475,784
  4. Step 4: Simplify right side
    201,836x = 226,370,414,656
  5. Step 5: Solve for x
    x = 226,370,414,656/201,836
  6. Step 6: Final answer
    x = 1,121,556.19

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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.