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Finding the Third Proportional to 467,896.50 and 753,522.75

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Solution

The third proportional to 467,896.50 and 753,522.75 is: 1,213,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,896.50 : 753,522.75 = 753,522.75 : x
  2. Step 2: Convert to fraction form
    467,896.50/753,522.75 = 753,522.75/x
  3. Step 3: Cross multiply
    467,896.50x = 753,522.75 × 753,522.75
  4. Step 4: Simplify right side
    467,896.50x = 567,796,534,767.56
  5. Step 5: Solve for x
    x = 567,796,534,767.56/467,896.50
  6. Step 6: Final answer
    x = 1,213,508.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.