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Finding the Third Proportional to 254,786 and 539,908

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Solution

The third proportional to 254,786 and 539,908 is: 1,144,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,786 : 539,908 = 539,908 : x
  2. Step 2: Convert to fraction form
    254,786/539,908 = 539,908/x
  3. Step 3: Cross multiply
    254,786x = 539,908 × 539,908
  4. Step 4: Simplify right side
    254,786x = 291,500,648,464
  5. Step 5: Solve for x
    x = 291,500,648,464/254,786
  6. Step 6: Final answer
    x = 1,144,099.94

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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.