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Finding the Third Proportional to 241,093 and 525,033

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Solution

The third proportional to 241,093 and 525,033 is: 1,143,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,093 : 525,033 = 525,033 : x
  2. Step 2: Convert to fraction form
    241,093/525,033 = 525,033/x
  3. Step 3: Cross multiply
    241,093x = 525,033 × 525,033
  4. Step 4: Simplify right side
    241,093x = 275,659,651,089
  5. Step 5: Solve for x
    x = 275,659,651,089/241,093
  6. Step 6: Final answer
    x = 1,143,374.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.