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Finding the Third Proportional to 417,508 and 984,778

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Solution

The third proportional to 417,508 and 984,778 is: 2,322,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,508 : 984,778 = 984,778 : x
  2. Step 2: Convert to fraction form
    417,508/984,778 = 984,778/x
  3. Step 3: Cross multiply
    417,508x = 984,778 × 984,778
  4. Step 4: Simplify right side
    417,508x = 969,787,709,284
  5. Step 5: Solve for x
    x = 969,787,709,284/417,508
  6. Step 6: Final answer
    x = 2,322,800.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.