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Finding the Third Proportional to 200,828 and 428,344

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Solution

The third proportional to 200,828 and 428,344 is: 913,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,828 : 428,344 = 428,344 : x
  2. Step 2: Convert to fraction form
    200,828/428,344 = 428,344/x
  3. Step 3: Cross multiply
    200,828x = 428,344 × 428,344
  4. Step 4: Simplify right side
    200,828x = 183,478,582,336
  5. Step 5: Solve for x
    x = 183,478,582,336/200,828
  6. Step 6: Final answer
    x = 913,610.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.