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Finding the Third Proportional to 517,818 and 699,606

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Solution

The third proportional to 517,818 and 699,606 is: 945,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,818 : 699,606 = 699,606 : x
  2. Step 2: Convert to fraction form
    517,818/699,606 = 699,606/x
  3. Step 3: Cross multiply
    517,818x = 699,606 × 699,606
  4. Step 4: Simplify right side
    517,818x = 489,448,555,236
  5. Step 5: Solve for x
    x = 489,448,555,236/517,818
  6. Step 6: Final answer
    x = 945,213.48

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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.