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Finding the Third Proportional to 263,960 and 424,992

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Solution

The third proportional to 263,960 and 424,992 is: 684,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,960 : 424,992 = 424,992 : x
  2. Step 2: Convert to fraction form
    263,960/424,992 = 424,992/x
  3. Step 3: Cross multiply
    263,960x = 424,992 × 424,992
  4. Step 4: Simplify right side
    263,960x = 180,618,200,064
  5. Step 5: Solve for x
    x = 180,618,200,064/263,960
  6. Step 6: Final answer
    x = 684,263.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.