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Finding the Third Proportional to 259,326 and 539,307

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Solution

The third proportional to 259,326 and 539,307 is: 1,121,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,326 : 539,307 = 539,307 : x
  2. Step 2: Convert to fraction form
    259,326/539,307 = 539,307/x
  3. Step 3: Cross multiply
    259,326x = 539,307 × 539,307
  4. Step 4: Simplify right side
    259,326x = 290,852,040,249
  5. Step 5: Solve for x
    x = 290,852,040,249/259,326
  6. Step 6: Final answer
    x = 1,121,569.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.