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Finding the Third Proportional to 201,254 and 419,044

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Solution

The third proportional to 201,254 and 419,044 is: 872,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,254 : 419,044 = 419,044 : x
  2. Step 2: Convert to fraction form
    201,254/419,044 = 419,044/x
  3. Step 3: Cross multiply
    201,254x = 419,044 × 419,044
  4. Step 4: Simplify right side
    201,254x = 175,597,873,936
  5. Step 5: Solve for x
    x = 175,597,873,936/201,254
  6. Step 6: Final answer
    x = 872,518.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.