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Finding the Third Proportional to 300,342 and 533,910

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Solution

The third proportional to 300,342 and 533,910 is: 949,117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,342 : 533,910 = 533,910 : x
  2. Step 2: Convert to fraction form
    300,342/533,910 = 533,910/x
  3. Step 3: Cross multiply
    300,342x = 533,910 × 533,910
  4. Step 4: Simplify right side
    300,342x = 285,059,888,100
  5. Step 5: Solve for x
    x = 285,059,888,100/300,342
  6. Step 6: Final answer
    x = 949,117.63

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.