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Finding the Third Proportional to 479,472.75 and 727,956

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Solution

The third proportional to 479,472.75 and 727,956 is: 1,105,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,472.75 : 727,956 = 727,956 : x
  2. Step 2: Convert to fraction form
    479,472.75/727,956 = 727,956/x
  3. Step 3: Cross multiply
    479,472.75x = 727,956 × 727,956
  4. Step 4: Simplify right side
    479,472.75x = 529,919,937,936
  5. Step 5: Solve for x
    x = 529,919,937,936/479,472.75
  6. Step 6: Final answer
    x = 1,105,213.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.