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Finding the Third Proportional to 240,056 and 386,684

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Solution

The third proportional to 240,056 and 386,684 is: 622,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,056 : 386,684 = 386,684 : x
  2. Step 2: Convert to fraction form
    240,056/386,684 = 386,684/x
  3. Step 3: Cross multiply
    240,056x = 386,684 × 386,684
  4. Step 4: Simplify right side
    240,056x = 149,524,515,856
  5. Step 5: Solve for x
    x = 149,524,515,856/240,056
  6. Step 6: Final answer
    x = 622,873.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.