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Finding the Third Proportional to 414,535.50 and 860,229

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Solution

The third proportional to 414,535.50 and 860,229 is: 1,785,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,535.50 : 860,229 = 860,229 : x
  2. Step 2: Convert to fraction form
    414,535.50/860,229 = 860,229/x
  3. Step 3: Cross multiply
    414,535.50x = 860,229 × 860,229
  4. Step 4: Simplify right side
    414,535.50x = 739,993,932,441
  5. Step 5: Solve for x
    x = 739,993,932,441/414,535.50
  6. Step 6: Final answer
    x = 1,785,115.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.