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Finding the Third Proportional to 533,767.50 and 825,594.75

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Solution

The third proportional to 533,767.50 and 825,594.75 is: 1,276,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,767.50 : 825,594.75 = 825,594.75 : x
  2. Step 2: Convert to fraction form
    533,767.50/825,594.75 = 825,594.75/x
  3. Step 3: Cross multiply
    533,767.50x = 825,594.75 × 825,594.75
  4. Step 4: Simplify right side
    533,767.50x = 681,606,691,227.56
  5. Step 5: Solve for x
    x = 681,606,691,227.56/533,767.50
  6. Step 6: Final answer
    x = 1,276,973.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.