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Finding the Third Proportional to 411,186 and 635,455

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Solution

The third proportional to 411,186 and 635,455 is: 982,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,186 : 635,455 = 635,455 : x
  2. Step 2: Convert to fraction form
    411,186/635,455 = 635,455/x
  3. Step 3: Cross multiply
    411,186x = 635,455 × 635,455
  4. Step 4: Simplify right side
    411,186x = 403,803,057,025
  5. Step 5: Solve for x
    x = 403,803,057,025/411,186
  6. Step 6: Final answer
    x = 982,044.76

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