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Finding the Third Proportional to 409,704.75 and 894,132

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Solution

The third proportional to 409,704.75 and 894,132 is: 1,951,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,704.75 : 894,132 = 894,132 : x
  2. Step 2: Convert to fraction form
    409,704.75/894,132 = 894,132/x
  3. Step 3: Cross multiply
    409,704.75x = 894,132 × 894,132
  4. Step 4: Simplify right side
    409,704.75x = 799,472,033,424
  5. Step 5: Solve for x
    x = 799,472,033,424/409,704.75
  6. Step 6: Final answer
    x = 1,951,336.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.