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Finding the Third Proportional to 231,698 and 541,316

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Solution

The third proportional to 231,698 and 541,316 is: 1,264,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,698 : 541,316 = 541,316 : x
  2. Step 2: Convert to fraction form
    231,698/541,316 = 541,316/x
  3. Step 3: Cross multiply
    231,698x = 541,316 × 541,316
  4. Step 4: Simplify right side
    231,698x = 293,023,011,856
  5. Step 5: Solve for x
    x = 293,023,011,856/231,698
  6. Step 6: Final answer
    x = 1,264,676.48

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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.