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Finding the Third Proportional to 254,592 and 385,104

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Solution

The third proportional to 254,592 and 385,104 is: 582,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,592 : 385,104 = 385,104 : x
  2. Step 2: Convert to fraction form
    254,592/385,104 = 385,104/x
  3. Step 3: Cross multiply
    254,592x = 385,104 × 385,104
  4. Step 4: Simplify right side
    254,592x = 148,305,090,816
  5. Step 5: Solve for x
    x = 148,305,090,816/254,592
  6. Step 6: Final answer
    x = 582,520.62

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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.