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Finding the Third Proportional to 450,578 and 629,937

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Solution

The third proportional to 450,578 and 629,937 is: 880,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,578 : 629,937 = 629,937 : x
  2. Step 2: Convert to fraction form
    450,578/629,937 = 629,937/x
  3. Step 3: Cross multiply
    450,578x = 629,937 × 629,937
  4. Step 4: Simplify right side
    450,578x = 396,820,623,969
  5. Step 5: Solve for x
    x = 396,820,623,969/450,578
  6. Step 6: Final answer
    x = 880,692.41

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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.