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Finding the Third Proportional to 250,008 and 539,108

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Solution

The third proportional to 250,008 and 539,108 is: 1,162,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,008 : 539,108 = 539,108 : x
  2. Step 2: Convert to fraction form
    250,008/539,108 = 539,108/x
  3. Step 3: Cross multiply
    250,008x = 539,108 × 539,108
  4. Step 4: Simplify right side
    250,008x = 290,637,435,664
  5. Step 5: Solve for x
    x = 290,637,435,664/250,008
  6. Step 6: Final answer
    x = 1,162,512.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.