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Finding the Third Proportional to 512,570 and 764,611

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Solution

The third proportional to 512,570 and 764,611 is: 1,140,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,570 : 764,611 = 764,611 : x
  2. Step 2: Convert to fraction form
    512,570/764,611 = 764,611/x
  3. Step 3: Cross multiply
    512,570x = 764,611 × 764,611
  4. Step 4: Simplify right side
    512,570x = 584,629,981,321
  5. Step 5: Solve for x
    x = 584,629,981,321/512,570
  6. Step 6: Final answer
    x = 1,140,585.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.