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Finding the Third Proportional to 405,416 and 635,975

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Solution

The third proportional to 405,416 and 635,975 is: 997,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,416 : 635,975 = 635,975 : x
  2. Step 2: Convert to fraction form
    405,416/635,975 = 635,975/x
  3. Step 3: Cross multiply
    405,416x = 635,975 × 635,975
  4. Step 4: Simplify right side
    405,416x = 404,464,200,625
  5. Step 5: Solve for x
    x = 404,464,200,625/405,416
  6. Step 6: Final answer
    x = 997,652.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.