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Finding the Third Proportional to 259,073 and 610,697

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Solution

The third proportional to 259,073 and 610,697 is: 1,439,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,073 : 610,697 = 610,697 : x
  2. Step 2: Convert to fraction form
    259,073/610,697 = 610,697/x
  3. Step 3: Cross multiply
    259,073x = 610,697 × 610,697
  4. Step 4: Simplify right side
    259,073x = 372,950,825,809
  5. Step 5: Solve for x
    x = 372,950,825,809/259,073
  6. Step 6: Final answer
    x = 1,439,558.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.