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Finding the Third Proportional to 241,768.69 and 525,514.78

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Solution

The third proportional to 241,768.69 and 525,514.78 is: 1,142,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,768.69 : 525,514.78 = 525,514.78 : x
  2. Step 2: Convert to fraction form
    241,768.69/525,514.78 = 525,514.78/x
  3. Step 3: Cross multiply
    241,768.69x = 525,514.78 × 525,514.78
  4. Step 4: Simplify right side
    241,768.69x = 276,165,785,312.24
  5. Step 5: Solve for x
    x = 276,165,785,312.24/241,768.69
  6. Step 6: Final answer
    x = 1,142,272.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.