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Finding the Third Proportional to 231,336 and 504,716

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Solution

The third proportional to 231,336 and 504,716 is: 1,101,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,336 : 504,716 = 504,716 : x
  2. Step 2: Convert to fraction form
    231,336/504,716 = 504,716/x
  3. Step 3: Cross multiply
    231,336x = 504,716 × 504,716
  4. Step 4: Simplify right side
    231,336x = 254,738,240,656
  5. Step 5: Solve for x
    x = 254,738,240,656/231,336
  6. Step 6: Final answer
    x = 1,101,161.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.