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Finding the Third Proportional to 362,407.50 and 818,772.75

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Solution

The third proportional to 362,407.50 and 818,772.75 is: 1,849,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,407.50 : 818,772.75 = 818,772.75 : x
  2. Step 2: Convert to fraction form
    362,407.50/818,772.75 = 818,772.75/x
  3. Step 3: Cross multiply
    362,407.50x = 818,772.75 × 818,772.75
  4. Step 4: Simplify right side
    362,407.50x = 670,388,816,142.56
  5. Step 5: Solve for x
    x = 670,388,816,142.56/362,407.50
  6. Step 6: Final answer
    x = 1,849,820.48

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.