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Finding the Third Proportional to 512,706 and 764,811

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Solution

The third proportional to 512,706 and 764,811 is: 1,140,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,706 : 764,811 = 764,811 : x
  2. Step 2: Convert to fraction form
    512,706/764,811 = 764,811/x
  3. Step 3: Cross multiply
    512,706x = 764,811 × 764,811
  4. Step 4: Simplify right side
    512,706x = 584,935,865,721
  5. Step 5: Solve for x
    x = 584,935,865,721/512,706
  6. Step 6: Final answer
    x = 1,140,879.70

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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.