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Finding the Third Proportional to 335,921 and 494,080

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Solution

The third proportional to 335,921 and 494,080 is: 726,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,921 : 494,080 = 494,080 : x
  2. Step 2: Convert to fraction form
    335,921/494,080 = 494,080/x
  3. Step 3: Cross multiply
    335,921x = 494,080 × 494,080
  4. Step 4: Simplify right side
    335,921x = 244,115,046,400
  5. Step 5: Solve for x
    x = 244,115,046,400/335,921
  6. Step 6: Final answer
    x = 726,703.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.