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Finding the Third Proportional to 413,305 and 632,181

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Solution

The third proportional to 413,305 and 632,181 is: 966,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,305 : 632,181 = 632,181 : x
  2. Step 2: Convert to fraction form
    413,305/632,181 = 632,181/x
  3. Step 3: Cross multiply
    413,305x = 632,181 × 632,181
  4. Step 4: Simplify right side
    413,305x = 399,652,816,761
  5. Step 5: Solve for x
    x = 399,652,816,761/413,305
  6. Step 6: Final answer
    x = 966,968.26

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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.