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Finding the Third Proportional to 231,968 and 541,984

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Solution

The third proportional to 231,968 and 541,984 is: 1,266,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,968 : 541,984 = 541,984 : x
  2. Step 2: Convert to fraction form
    231,968/541,984 = 541,984/x
  3. Step 3: Cross multiply
    231,968x = 541,984 × 541,984
  4. Step 4: Simplify right side
    231,968x = 293,746,656,256
  5. Step 5: Solve for x
    x = 293,746,656,256/231,968
  6. Step 6: Final answer
    x = 1,266,324.05

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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.