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Finding the Third Proportional to 235,469 and 504,850

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Solution

The third proportional to 235,469 and 504,850 is: 1,082,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,469 : 504,850 = 504,850 : x
  2. Step 2: Convert to fraction form
    235,469/504,850 = 504,850/x
  3. Step 3: Cross multiply
    235,469x = 504,850 × 504,850
  4. Step 4: Simplify right side
    235,469x = 254,873,522,500
  5. Step 5: Solve for x
    x = 254,873,522,500/235,469
  6. Step 6: Final answer
    x = 1,082,407.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.