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Finding the Third Proportional to 517,822 and 699,612

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Solution

The third proportional to 517,822 and 699,612 is: 945,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,822 : 699,612 = 699,612 : x
  2. Step 2: Convert to fraction form
    517,822/699,612 = 699,612/x
  3. Step 3: Cross multiply
    517,822x = 699,612 × 699,612
  4. Step 4: Simplify right side
    517,822x = 489,456,950,544
  5. Step 5: Solve for x
    x = 489,456,950,544/517,822
  6. Step 6: Final answer
    x = 945,222.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.