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Finding the Third Proportional to 253,197 and 529,782.75

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Solution

The third proportional to 253,197 and 529,782.75 is: 1,108,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,197 : 529,782.75 = 529,782.75 : x
  2. Step 2: Convert to fraction form
    253,197/529,782.75 = 529,782.75/x
  3. Step 3: Cross multiply
    253,197x = 529,782.75 × 529,782.75
  4. Step 4: Simplify right side
    253,197x = 280,669,762,197.56
  5. Step 5: Solve for x
    x = 280,669,762,197.56/253,197
  6. Step 6: Final answer
    x = 1,108,503.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.