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Finding the Third Proportional to 263,956 and 424,986

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Solution

The third proportional to 263,956 and 424,986 is: 684,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,956 : 424,986 = 424,986 : x
  2. Step 2: Convert to fraction form
    263,956/424,986 = 424,986/x
  3. Step 3: Cross multiply
    263,956x = 424,986 × 424,986
  4. Step 4: Simplify right side
    263,956x = 180,613,100,196
  5. Step 5: Solve for x
    x = 180,613,100,196/263,956
  6. Step 6: Final answer
    x = 684,254.57

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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.