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Finding the Third Proportional to 241,788 and 522,504

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Solution

The third proportional to 241,788 and 522,504 is: 1,129,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,788 : 522,504 = 522,504 : x
  2. Step 2: Convert to fraction form
    241,788/522,504 = 522,504/x
  3. Step 3: Cross multiply
    241,788x = 522,504 × 522,504
  4. Step 4: Simplify right side
    241,788x = 273,010,430,016
  5. Step 5: Solve for x
    x = 273,010,430,016/241,788
  6. Step 6: Final answer
    x = 1,129,131.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.