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Finding the Third Proportional to 260,941 and 403,199

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Solution

The third proportional to 260,941 and 403,199 is: 623,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,941 : 403,199 = 403,199 : x
  2. Step 2: Convert to fraction form
    260,941/403,199 = 403,199/x
  3. Step 3: Cross multiply
    260,941x = 403,199 × 403,199
  4. Step 4: Simplify right side
    260,941x = 162,569,433,601
  5. Step 5: Solve for x
    x = 162,569,433,601/260,941
  6. Step 6: Final answer
    x = 623,012.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.