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Finding the Third Proportional to 298,614 and 446,826

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Solution

The third proportional to 298,614 and 446,826 is: 668,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,614 : 446,826 = 446,826 : x
  2. Step 2: Convert to fraction form
    298,614/446,826 = 446,826/x
  3. Step 3: Cross multiply
    298,614x = 446,826 × 446,826
  4. Step 4: Simplify right side
    298,614x = 199,653,474,276
  5. Step 5: Solve for x
    x = 199,653,474,276/298,614
  6. Step 6: Final answer
    x = 668,600.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.