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Finding the Third Proportional to 517,914 and 699,747

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Solution

The third proportional to 517,914 and 699,747 is: 945,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,914 : 699,747 = 699,747 : x
  2. Step 2: Convert to fraction form
    517,914/699,747 = 699,747/x
  3. Step 3: Cross multiply
    517,914x = 699,747 × 699,747
  4. Step 4: Simplify right side
    517,914x = 489,645,864,009
  5. Step 5: Solve for x
    x = 489,645,864,009/517,914
  6. Step 6: Final answer
    x = 945,419.25

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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.