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Finding the Third Proportional to 340,941 and 717,826.50

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Solution

The third proportional to 340,941 and 717,826.50 is: 1,511,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,941 : 717,826.50 = 717,826.50 : x
  2. Step 2: Convert to fraction form
    340,941/717,826.50 = 717,826.50/x
  3. Step 3: Cross multiply
    340,941x = 717,826.50 × 717,826.50
  4. Step 4: Simplify right side
    340,941x = 515,274,884,102.25
  5. Step 5: Solve for x
    x = 515,274,884,102.25/340,941
  6. Step 6: Final answer
    x = 1,511,331.53

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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.