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Finding the Third Proportional to 231,714 and 541,356

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Solution

The third proportional to 231,714 and 541,356 is: 1,264,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,714 : 541,356 = 541,356 : x
  2. Step 2: Convert to fraction form
    231,714/541,356 = 541,356/x
  3. Step 3: Cross multiply
    231,714x = 541,356 × 541,356
  4. Step 4: Simplify right side
    231,714x = 293,066,318,736
  5. Step 5: Solve for x
    x = 293,066,318,736/231,714
  6. Step 6: Final answer
    x = 1,264,776.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.