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Finding the Third Proportional to 386,373 and 568,386

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Solution

The third proportional to 386,373 and 568,386 is: 836,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,373 : 568,386 = 568,386 : x
  2. Step 2: Convert to fraction form
    386,373/568,386 = 568,386/x
  3. Step 3: Cross multiply
    386,373x = 568,386 × 568,386
  4. Step 4: Simplify right side
    386,373x = 323,062,644,996
  5. Step 5: Solve for x
    x = 323,062,644,996/386,373
  6. Step 6: Final answer
    x = 836,141.88

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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.