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Finding the Third Proportional to 239,818 and 517,034

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Solution

The third proportional to 239,818 and 517,034 is: 1,114,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,818 : 517,034 = 517,034 : x
  2. Step 2: Convert to fraction form
    239,818/517,034 = 517,034/x
  3. Step 3: Cross multiply
    239,818x = 517,034 × 517,034
  4. Step 4: Simplify right side
    239,818x = 267,324,157,156
  5. Step 5: Solve for x
    x = 267,324,157,156/239,818
  6. Step 6: Final answer
    x = 1,114,695.97

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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.