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Finding the Third Proportional to 405,381 and 635,910

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Solution

The third proportional to 405,381 and 635,910 is: 997,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,381 : 635,910 = 635,910 : x
  2. Step 2: Convert to fraction form
    405,381/635,910 = 635,910/x
  3. Step 3: Cross multiply
    405,381x = 635,910 × 635,910
  4. Step 4: Simplify right side
    405,381x = 404,381,528,100
  5. Step 5: Solve for x
    x = 404,381,528,100/405,381
  6. Step 6: Final answer
    x = 997,534.49

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