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Finding the Third Proportional to 241,255 and 515,641

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Solution

The third proportional to 241,255 and 515,641 is: 1,102,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,255 : 515,641 = 515,641 : x
  2. Step 2: Convert to fraction form
    241,255/515,641 = 515,641/x
  3. Step 3: Cross multiply
    241,255x = 515,641 × 515,641
  4. Step 4: Simplify right side
    241,255x = 265,885,640,881
  5. Step 5: Solve for x
    x = 265,885,640,881/241,255
  6. Step 6: Final answer
    x = 1,102,093.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.