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Finding the Third Proportional to 258,109 and 566,073

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Solution

The third proportional to 258,109 and 566,073 is: 1,241,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,109 : 566,073 = 566,073 : x
  2. Step 2: Convert to fraction form
    258,109/566,073 = 566,073/x
  3. Step 3: Cross multiply
    258,109x = 566,073 × 566,073
  4. Step 4: Simplify right side
    258,109x = 320,438,641,329
  5. Step 5: Solve for x
    x = 320,438,641,329/258,109
  6. Step 6: Final answer
    x = 1,241,485.73

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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.