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Finding the Third Proportional to 450,529.50 and 629,867.25

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Solution

The third proportional to 450,529.50 and 629,867.25 is: 880,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,529.50 : 629,867.25 = 629,867.25 : x
  2. Step 2: Convert to fraction form
    450,529.50/629,867.25 = 629,867.25/x
  3. Step 3: Cross multiply
    450,529.50x = 629,867.25 × 629,867.25
  4. Step 4: Simplify right side
    450,529.50x = 396,732,752,622.56
  5. Step 5: Solve for x
    x = 396,732,752,622.56/450,529.50
  6. Step 6: Final answer
    x = 880,592.18

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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.