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Finding the Third Proportional to 500,711 and 768,564

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Solution

The third proportional to 500,711 and 768,564 is: 1,179,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,711 : 768,564 = 768,564 : x
  2. Step 2: Convert to fraction form
    500,711/768,564 = 768,564/x
  3. Step 3: Cross multiply
    500,711x = 768,564 × 768,564
  4. Step 4: Simplify right side
    500,711x = 590,690,622,096
  5. Step 5: Solve for x
    x = 590,690,622,096/500,711
  6. Step 6: Final answer
    x = 1,179,703.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.