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Finding the Third Proportional to 373,794 and 559,143

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Solution

The third proportional to 373,794 and 559,143 is: 836,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,794 : 559,143 = 559,143 : x
  2. Step 2: Convert to fraction form
    373,794/559,143 = 559,143/x
  3. Step 3: Cross multiply
    373,794x = 559,143 × 559,143
  4. Step 4: Simplify right side
    373,794x = 312,640,894,449
  5. Step 5: Solve for x
    x = 312,640,894,449/373,794
  6. Step 6: Final answer
    x = 836,398.91

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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.