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Finding the Third Proportional to 340,928 and 741,344

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Solution

The third proportional to 340,928 and 741,344 is: 1,612,043.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,928 : 741,344 = 741,344 : x
  2. Step 2: Convert to fraction form
    340,928/741,344 = 741,344/x
  3. Step 3: Cross multiply
    340,928x = 741,344 × 741,344
  4. Step 4: Simplify right side
    340,928x = 549,590,926,336
  5. Step 5: Solve for x
    x = 549,590,926,336/340,928
  6. Step 6: Final answer
    x = 1,612,043.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.