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Finding the Third Proportional to 254,652 and 539,660

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Solution

The third proportional to 254,652 and 539,660 is: 1,143,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,652 : 539,660 = 539,660 : x
  2. Step 2: Convert to fraction form
    254,652/539,660 = 539,660/x
  3. Step 3: Cross multiply
    254,652x = 539,660 × 539,660
  4. Step 4: Simplify right side
    254,652x = 291,232,915,600
  5. Step 5: Solve for x
    x = 291,232,915,600/254,652
  6. Step 6: Final answer
    x = 1,143,650.61

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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.