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Finding the Third Proportional to 242,794 and 380,872

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Solution

The third proportional to 242,794 and 380,872 is: 597,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,794 : 380,872 = 380,872 : x
  2. Step 2: Convert to fraction form
    242,794/380,872 = 380,872/x
  3. Step 3: Cross multiply
    242,794x = 380,872 × 380,872
  4. Step 4: Simplify right side
    242,794x = 145,063,480,384
  5. Step 5: Solve for x
    x = 145,063,480,384/242,794
  6. Step 6: Final answer
    x = 597,475.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.