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Finding the Third Proportional to 265,898 and 399,042

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Solution

The third proportional to 265,898 and 399,042 is: 598,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,898 : 399,042 = 399,042 : x
  2. Step 2: Convert to fraction form
    265,898/399,042 = 399,042/x
  3. Step 3: Cross multiply
    265,898x = 399,042 × 399,042
  4. Step 4: Simplify right side
    265,898x = 159,234,517,764
  5. Step 5: Solve for x
    x = 159,234,517,764/265,898
  6. Step 6: Final answer
    x = 598,855.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.