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Finding the Third Proportional to 263,024 and 372,172

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Solution

The third proportional to 263,024 and 372,172 is: 526,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,024 : 372,172 = 372,172 : x
  2. Step 2: Convert to fraction form
    263,024/372,172 = 372,172/x
  3. Step 3: Cross multiply
    263,024x = 372,172 × 372,172
  4. Step 4: Simplify right side
    263,024x = 138,511,997,584
  5. Step 5: Solve for x
    x = 138,511,997,584/263,024
  6. Step 6: Final answer
    x = 526,613.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.