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Finding the Third Proportional to 411,194 and 635,467

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Solution

The third proportional to 411,194 and 635,467 is: 982,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,194 : 635,467 = 635,467 : x
  2. Step 2: Convert to fraction form
    411,194/635,467 = 635,467/x
  3. Step 3: Cross multiply
    411,194x = 635,467 × 635,467
  4. Step 4: Simplify right side
    411,194x = 403,818,308,089
  5. Step 5: Solve for x
    x = 403,818,308,089/411,194
  6. Step 6: Final answer
    x = 982,062.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.