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Finding the Third Proportional to 445,786.50 and 869,247

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Solution

The third proportional to 445,786.50 and 869,247 is: 1,694,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,786.50 : 869,247 = 869,247 : x
  2. Step 2: Convert to fraction form
    445,786.50/869,247 = 869,247/x
  3. Step 3: Cross multiply
    445,786.50x = 869,247 × 869,247
  4. Step 4: Simplify right side
    445,786.50x = 755,590,347,009
  5. Step 5: Solve for x
    x = 755,590,347,009/445,786.50
  6. Step 6: Final answer
    x = 1,694,960.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.