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Finding the Third Proportional to 341,144 and 743,344

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Solution

The third proportional to 341,144 and 743,344 is: 1,619,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,144 : 743,344 = 743,344 : x
  2. Step 2: Convert to fraction form
    341,144/743,344 = 743,344/x
  3. Step 3: Cross multiply
    341,144x = 743,344 × 743,344
  4. Step 4: Simplify right side
    341,144x = 552,560,302,336
  5. Step 5: Solve for x
    x = 552,560,302,336/341,144
  6. Step 6: Final answer
    x = 1,619,727.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.