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Finding the Third Proportional to 386,372 and 568,384

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Solution

The third proportional to 386,372 and 568,384 is: 836,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,372 : 568,384 = 568,384 : x
  2. Step 2: Convert to fraction form
    386,372/568,384 = 568,384/x
  3. Step 3: Cross multiply
    386,372x = 568,384 × 568,384
  4. Step 4: Simplify right side
    386,372x = 323,060,371,456
  5. Step 5: Solve for x
    x = 323,060,371,456/386,372
  6. Step 6: Final answer
    x = 836,138.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.