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Finding the Third Proportional to 340,950 and 717,846

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Solution

The third proportional to 340,950 and 717,846 is: 1,511,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,950 : 717,846 = 717,846 : x
  2. Step 2: Convert to fraction form
    340,950/717,846 = 717,846/x
  3. Step 3: Cross multiply
    340,950x = 717,846 × 717,846
  4. Step 4: Simplify right side
    340,950x = 515,302,879,716
  5. Step 5: Solve for x
    x = 515,302,879,716/340,950
  6. Step 6: Final answer
    x = 1,511,373.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.