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Finding the Third Proportional to 450,576 and 629,934

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Solution

The third proportional to 450,576 and 629,934 is: 880,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,576 : 629,934 = 629,934 : x
  2. Step 2: Convert to fraction form
    450,576/629,934 = 629,934/x
  3. Step 3: Cross multiply
    450,576x = 629,934 × 629,934
  4. Step 4: Simplify right side
    450,576x = 396,816,844,356
  5. Step 5: Solve for x
    x = 396,816,844,356/450,576
  6. Step 6: Final answer
    x = 880,687.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.