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Finding the Third Proportional to 380,393 and 588,684

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Solution

The third proportional to 380,393 and 588,684 is: 911,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,393 : 588,684 = 588,684 : x
  2. Step 2: Convert to fraction form
    380,393/588,684 = 588,684/x
  3. Step 3: Cross multiply
    380,393x = 588,684 × 588,684
  4. Step 4: Simplify right side
    380,393x = 346,548,851,856
  5. Step 5: Solve for x
    x = 346,548,851,856/380,393
  6. Step 6: Final answer
    x = 911,028.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.