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Finding the Third Proportional to 259,904 and 569,444

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Solution

The third proportional to 259,904 and 569,444 is: 1,247,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,904 : 569,444 = 569,444 : x
  2. Step 2: Convert to fraction form
    259,904/569,444 = 569,444/x
  3. Step 3: Cross multiply
    259,904x = 569,444 × 569,444
  4. Step 4: Simplify right side
    259,904x = 324,266,469,136
  5. Step 5: Solve for x
    x = 324,266,469,136/259,904
  6. Step 6: Final answer
    x = 1,247,639.39

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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.