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Finding the Third Proportional to 414,648 and 635,078

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Solution

The third proportional to 414,648 and 635,078 is: 972,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,648 : 635,078 = 635,078 : x
  2. Step 2: Convert to fraction form
    414,648/635,078 = 635,078/x
  3. Step 3: Cross multiply
    414,648x = 635,078 × 635,078
  4. Step 4: Simplify right side
    414,648x = 403,324,066,084
  5. Step 5: Solve for x
    x = 403,324,066,084/414,648
  6. Step 6: Final answer
    x = 972,690.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.