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Finding the Third Proportional to 241,918 and 512,677

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Solution

The third proportional to 241,918 and 512,677 is: 1,086,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,918 : 512,677 = 512,677 : x
  2. Step 2: Convert to fraction form
    241,918/512,677 = 512,677/x
  3. Step 3: Cross multiply
    241,918x = 512,677 × 512,677
  4. Step 4: Simplify right side
    241,918x = 262,837,706,329
  5. Step 5: Solve for x
    x = 262,837,706,329/241,918
  6. Step 6: Final answer
    x = 1,086,474.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.