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Finding the Third Proportional to 320,269 and 741,344

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Solution

The third proportional to 320,269 and 741,344 is: 1,716,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,269 : 741,344 = 741,344 : x
  2. Step 2: Convert to fraction form
    320,269/741,344 = 741,344/x
  3. Step 3: Cross multiply
    320,269x = 741,344 × 741,344
  4. Step 4: Simplify right side
    320,269x = 549,590,926,336
  5. Step 5: Solve for x
    x = 549,590,926,336/320,269
  6. Step 6: Final answer
    x = 1,716,029.11

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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.