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Finding the Third Proportional to 405,398.25 and 635,941.13

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Solution

The third proportional to 405,398.25 and 635,941.13 is: 997,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,398.25 : 635,941.13 = 635,941.13 : x
  2. Step 2: Convert to fraction form
    405,398.25/635,941.13 = 635,941.13/x
  3. Step 3: Cross multiply
    405,398.25x = 635,941.13 × 635,941.13
  4. Step 4: Simplify right side
    405,398.25x = 404,421,114,466.27
  5. Step 5: Solve for x
    x = 404,421,114,466.27/405,398.25
  6. Step 6: Final answer
    x = 997,589.69

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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.