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Finding the Third Proportional to 254,739 and 539,823

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Solution

The third proportional to 254,739 and 539,823 is: 1,143,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,739 : 539,823 = 539,823 : x
  2. Step 2: Convert to fraction form
    254,739/539,823 = 539,823/x
  3. Step 3: Cross multiply
    254,739x = 539,823 × 539,823
  4. Step 4: Simplify right side
    254,739x = 291,408,871,329
  5. Step 5: Solve for x
    x = 291,408,871,329/254,739
  6. Step 6: Final answer
    x = 1,143,950.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.