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Finding the Third Proportional to 362,270.25 and 796,252.50

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Solution

The third proportional to 362,270.25 and 796,252.50 is: 1,750,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,270.25 : 796,252.50 = 796,252.50 : x
  2. Step 2: Convert to fraction form
    362,270.25/796,252.50 = 796,252.50/x
  3. Step 3: Cross multiply
    362,270.25x = 796,252.50 × 796,252.50
  4. Step 4: Simplify right side
    362,270.25x = 634,018,043,756.25
  5. Step 5: Solve for x
    x = 634,018,043,756.25/362,270.25
  6. Step 6: Final answer
    x = 1,750,124.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.