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Finding the Third Proportional to 517,819 and 699,607

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Solution

The third proportional to 517,819 and 699,607 is: 945,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,819 : 699,607 = 699,607 : x
  2. Step 2: Convert to fraction form
    517,819/699,607 = 699,607/x
  3. Step 3: Cross multiply
    517,819x = 699,607 × 699,607
  4. Step 4: Simplify right side
    517,819x = 489,449,954,449
  5. Step 5: Solve for x
    x = 489,449,954,449/517,819
  6. Step 6: Final answer
    x = 945,214.36

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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.