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Finding the Third Proportional to 533,764.69 and 764,493.19

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Solution

The third proportional to 533,764.69 and 764,493.19 is: 1,094,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,764.69 : 764,493.19 = 764,493.19 : x
  2. Step 2: Convert to fraction form
    533,764.69/764,493.19 = 764,493.19/x
  3. Step 3: Cross multiply
    533,764.69x = 764,493.19 × 764,493.19
  4. Step 4: Simplify right side
    533,764.69x = 584,449,833,733.91
  5. Step 5: Solve for x
    x = 584,449,833,733.91/533,764.69
  6. Step 6: Final answer
    x = 1,094,957.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.