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Finding the Third Proportional to 517,842 and 699,642

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Solution

The third proportional to 517,842 and 699,642 is: 945,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,842 : 699,642 = 699,642 : x
  2. Step 2: Convert to fraction form
    517,842/699,642 = 699,642/x
  3. Step 3: Cross multiply
    517,842x = 699,642 × 699,642
  4. Step 4: Simplify right side
    517,842x = 489,498,928,164
  5. Step 5: Solve for x
    x = 489,498,928,164/517,842
  6. Step 6: Final answer
    x = 945,266.95

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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.