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Finding the Third Proportional to 320,267 and 741,339

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Solution

The third proportional to 320,267 and 741,339 is: 1,716,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,267 : 741,339 = 741,339 : x
  2. Step 2: Convert to fraction form
    320,267/741,339 = 741,339/x
  3. Step 3: Cross multiply
    320,267x = 741,339 × 741,339
  4. Step 4: Simplify right side
    320,267x = 549,583,512,921
  5. Step 5: Solve for x
    x = 549,583,512,921/320,267
  6. Step 6: Final answer
    x = 1,716,016.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.