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Finding the Third Proportional to 254,320 and 384,761

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Solution

The third proportional to 254,320 and 384,761 is: 582,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,320 : 384,761 = 384,761 : x
  2. Step 2: Convert to fraction form
    254,320/384,761 = 384,761/x
  3. Step 3: Cross multiply
    254,320x = 384,761 × 384,761
  4. Step 4: Simplify right side
    254,320x = 148,041,027,121
  5. Step 5: Solve for x
    x = 148,041,027,121/254,320
  6. Step 6: Final answer
    x = 582,105.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.