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Finding the Third Proportional to 335,857 and 503,578

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Solution

The third proportional to 335,857 and 503,578 is: 755,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,857 : 503,578 = 503,578 : x
  2. Step 2: Convert to fraction form
    335,857/503,578 = 503,578/x
  3. Step 3: Cross multiply
    335,857x = 503,578 × 503,578
  4. Step 4: Simplify right side
    335,857x = 253,590,802,084
  5. Step 5: Solve for x
    x = 253,590,802,084/335,857
  6. Step 6: Final answer
    x = 755,055.88

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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.