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Finding the Third Proportional to 236,466 and 347,787

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Solution

The third proportional to 236,466 and 347,787 is: 511,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,466 : 347,787 = 347,787 : x
  2. Step 2: Convert to fraction form
    236,466/347,787 = 347,787/x
  3. Step 3: Cross multiply
    236,466x = 347,787 × 347,787
  4. Step 4: Simplify right side
    236,466x = 120,955,797,369
  5. Step 5: Solve for x
    x = 120,955,797,369/236,466
  6. Step 6: Final answer
    x = 511,514.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.