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Finding the Third Proportional to 450,560 and 629,913

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Solution

The third proportional to 450,560 and 629,913 is: 880,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,560 : 629,913 = 629,913 : x
  2. Step 2: Convert to fraction form
    450,560/629,913 = 629,913/x
  3. Step 3: Cross multiply
    450,560x = 629,913 × 629,913
  4. Step 4: Simplify right side
    450,560x = 396,790,387,569
  5. Step 5: Solve for x
    x = 396,790,387,569/450,560
  6. Step 6: Final answer
    x = 880,660.48

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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.