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Finding the Third Proportional to 208,610 and 428,279

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Solution

The third proportional to 208,610 and 428,279 is: 879,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,610 : 428,279 = 428,279 : x
  2. Step 2: Convert to fraction form
    208,610/428,279 = 428,279/x
  3. Step 3: Cross multiply
    208,610x = 428,279 × 428,279
  4. Step 4: Simplify right side
    208,610x = 183,422,901,841
  5. Step 5: Solve for x
    x = 183,422,901,841/208,610
  6. Step 6: Final answer
    x = 879,262.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.