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Finding the Third Proportional to 450,566 and 629,920

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Solution

The third proportional to 450,566 and 629,920 is: 880,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,566 : 629,920 = 629,920 : x
  2. Step 2: Convert to fraction form
    450,566/629,920 = 629,920/x
  3. Step 3: Cross multiply
    450,566x = 629,920 × 629,920
  4. Step 4: Simplify right side
    450,566x = 396,799,206,400
  5. Step 5: Solve for x
    x = 396,799,206,400/450,566
  6. Step 6: Final answer
    x = 880,668.33

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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.