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Finding the Third Proportional to 335,914 and 469,631

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Solution

The third proportional to 335,914 and 469,631 is: 656,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,914 : 469,631 = 469,631 : x
  2. Step 2: Convert to fraction form
    335,914/469,631 = 469,631/x
  3. Step 3: Cross multiply
    335,914x = 469,631 × 469,631
  4. Step 4: Simplify right side
    335,914x = 220,553,276,161
  5. Step 5: Solve for x
    x = 220,553,276,161/335,914
  6. Step 6: Final answer
    x = 656,576.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.