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Finding the Third Proportional to 250,344 and 377,644

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Solution

The third proportional to 250,344 and 377,644 is: 569,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,344 : 377,644 = 377,644 : x
  2. Step 2: Convert to fraction form
    250,344/377,644 = 377,644/x
  3. Step 3: Cross multiply
    250,344x = 377,644 × 377,644
  4. Step 4: Simplify right side
    250,344x = 142,614,990,736
  5. Step 5: Solve for x
    x = 142,614,990,736/250,344
  6. Step 6: Final answer
    x = 569,676.09

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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.