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Finding the Third Proportional to 241,142 and 515,498

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Solution

The third proportional to 241,142 and 515,498 is: 1,101,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,142 : 515,498 = 515,498 : x
  2. Step 2: Convert to fraction form
    241,142/515,498 = 515,498/x
  3. Step 3: Cross multiply
    241,142x = 515,498 × 515,498
  4. Step 4: Simplify right side
    241,142x = 265,738,188,004
  5. Step 5: Solve for x
    x = 265,738,188,004/241,142
  6. Step 6: Final answer
    x = 1,101,998.77

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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.