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Finding the Third Proportional to 241,891 and 515,862

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Solution

The third proportional to 241,891 and 515,862 is: 1,100,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,891 : 515,862 = 515,862 : x
  2. Step 2: Convert to fraction form
    241,891/515,862 = 515,862/x
  3. Step 3: Cross multiply
    241,891x = 515,862 × 515,862
  4. Step 4: Simplify right side
    241,891x = 266,113,603,044
  5. Step 5: Solve for x
    x = 266,113,603,044/241,891
  6. Step 6: Final answer
    x = 1,100,138.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.