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Finding the Third Proportional to 259,169 and 539,029

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Solution

The third proportional to 259,169 and 539,029 is: 1,121,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,169 : 539,029 = 539,029 : x
  2. Step 2: Convert to fraction form
    259,169/539,029 = 539,029/x
  3. Step 3: Cross multiply
    259,169x = 539,029 × 539,029
  4. Step 4: Simplify right side
    259,169x = 290,552,262,841
  5. Step 5: Solve for x
    x = 290,552,262,841/259,169
  6. Step 6: Final answer
    x = 1,121,091.89

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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.