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Finding the Third Proportional to 241,184 and 523,872

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Solution

The third proportional to 241,184 and 523,872 is: 1,137,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,184 : 523,872 = 523,872 : x
  2. Step 2: Convert to fraction form
    241,184/523,872 = 523,872/x
  3. Step 3: Cross multiply
    241,184x = 523,872 × 523,872
  4. Step 4: Simplify right side
    241,184x = 274,441,872,384
  5. Step 5: Solve for x
    x = 274,441,872,384/241,184
  6. Step 6: Final answer
    x = 1,137,894.19

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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.