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Finding the Third Proportional to 241,176 and 523,857

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Solution

The third proportional to 241,176 and 523,857 is: 1,137,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,176 : 523,857 = 523,857 : x
  2. Step 2: Convert to fraction form
    241,176/523,857 = 523,857/x
  3. Step 3: Cross multiply
    241,176x = 523,857 × 523,857
  4. Step 4: Simplify right side
    241,176x = 274,426,156,449
  5. Step 5: Solve for x
    x = 274,426,156,449/241,176
  6. Step 6: Final answer
    x = 1,137,866.77

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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.