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Finding the Third Proportional to 335,652 and 469,293

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Solution

The third proportional to 335,652 and 469,293 is: 656,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,652 : 469,293 = 469,293 : x
  2. Step 2: Convert to fraction form
    335,652/469,293 = 469,293/x
  3. Step 3: Cross multiply
    335,652x = 469,293 × 469,293
  4. Step 4: Simplify right side
    335,652x = 220,235,919,849
  5. Step 5: Solve for x
    x = 220,235,919,849/335,652
  6. Step 6: Final answer
    x = 656,143.62

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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.