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Finding the Third Proportional to 201,222 and 426,427

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Solution

The third proportional to 201,222 and 426,427 is: 903,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,222 : 426,427 = 426,427 : x
  2. Step 2: Convert to fraction form
    201,222/426,427 = 426,427/x
  3. Step 3: Cross multiply
    201,222x = 426,427 × 426,427
  4. Step 4: Simplify right side
    201,222x = 181,839,986,329
  5. Step 5: Solve for x
    x = 181,839,986,329/201,222
  6. Step 6: Final answer
    x = 903,678.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.