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Finding the Third Proportional to 254,318 and 384,758

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Solution

The third proportional to 254,318 and 384,758 is: 582,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,318 : 384,758 = 384,758 : x
  2. Step 2: Convert to fraction form
    254,318/384,758 = 384,758/x
  3. Step 3: Cross multiply
    254,318x = 384,758 × 384,758
  4. Step 4: Simplify right side
    254,318x = 148,038,718,564
  5. Step 5: Solve for x
    x = 148,038,718,564/254,318
  6. Step 6: Final answer
    x = 582,100.83

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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.