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Finding the Third Proportional to 241,129 and 523,771

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Solution

The third proportional to 241,129 and 523,771 is: 1,137,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,129 : 523,771 = 523,771 : x
  2. Step 2: Convert to fraction form
    241,129/523,771 = 523,771/x
  3. Step 3: Cross multiply
    241,129x = 523,771 × 523,771
  4. Step 4: Simplify right side
    241,129x = 274,336,060,441
  5. Step 5: Solve for x
    x = 274,336,060,441/241,129
  6. Step 6: Final answer
    x = 1,137,714.92

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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.