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Finding the Third Proportional to 201,759 and 455,494

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Solution

The third proportional to 201,759 and 455,494 is: 1,028,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,759 : 455,494 = 455,494 : x
  2. Step 2: Convert to fraction form
    201,759/455,494 = 455,494/x
  3. Step 3: Cross multiply
    201,759x = 455,494 × 455,494
  4. Step 4: Simplify right side
    201,759x = 207,474,784,036
  5. Step 5: Solve for x
    x = 207,474,784,036/201,759
  6. Step 6: Final answer
    x = 1,028,329.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.