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Finding the Third Proportional to 201,726 and 475,517

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Solution

The third proportional to 201,726 and 475,517 is: 1,120,908.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,726 : 475,517 = 475,517 : x
  2. Step 2: Convert to fraction form
    201,726/475,517 = 475,517/x
  3. Step 3: Cross multiply
    201,726x = 475,517 × 475,517
  4. Step 4: Simplify right side
    201,726x = 226,116,417,289
  5. Step 5: Solve for x
    x = 226,116,417,289/201,726
  6. Step 6: Final answer
    x = 1,120,908.64

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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.