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Finding the Third Proportional to 263,016 and 575,238

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Solution

The third proportional to 263,016 and 575,238 is: 1,258,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,016 : 575,238 = 575,238 : x
  2. Step 2: Convert to fraction form
    263,016/575,238 = 575,238/x
  3. Step 3: Cross multiply
    263,016x = 575,238 × 575,238
  4. Step 4: Simplify right side
    263,016x = 330,898,756,644
  5. Step 5: Solve for x
    x = 330,898,756,644/263,016
  6. Step 6: Final answer
    x = 1,258,093.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.