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Finding the Third Proportional to 250,780 and 384,042

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Solution

The third proportional to 250,780 and 384,042 is: 588,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,780 : 384,042 = 384,042 : x
  2. Step 2: Convert to fraction form
    250,780/384,042 = 384,042/x
  3. Step 3: Cross multiply
    250,780x = 384,042 × 384,042
  4. Step 4: Simplify right side
    250,780x = 147,488,257,764
  5. Step 5: Solve for x
    x = 147,488,257,764/250,780
  6. Step 6: Final answer
    x = 588,118.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.