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Finding the Third Proportional to 420,252.50 and 628,891.50

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Solution

The third proportional to 420,252.50 and 628,891.50 is: 941,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,252.50 : 628,891.50 = 628,891.50 : x
  2. Step 2: Convert to fraction form
    420,252.50/628,891.50 = 628,891.50/x
  3. Step 3: Cross multiply
    420,252.50x = 628,891.50 × 628,891.50
  4. Step 4: Simplify right side
    420,252.50x = 395,504,518,772.25
  5. Step 5: Solve for x
    x = 395,504,518,772.25/420,252.50
  6. Step 6: Final answer
    x = 941,111.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.