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Finding the Third Proportional to 414,645 and 635,073

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Solution

The third proportional to 414,645 and 635,073 is: 972,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,645 : 635,073 = 635,073 : x
  2. Step 2: Convert to fraction form
    414,645/635,073 = 635,073/x
  3. Step 3: Cross multiply
    414,645x = 635,073 × 635,073
  4. Step 4: Simplify right side
    414,645x = 403,317,715,329
  5. Step 5: Solve for x
    x = 403,317,715,329/414,645
  6. Step 6: Final answer
    x = 972,681.97

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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.