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Finding the Third Proportional to 365,568 and 847,104

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Solution

The third proportional to 365,568 and 847,104 is: 1,962,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,568 : 847,104 = 847,104 : x
  2. Step 2: Convert to fraction form
    365,568/847,104 = 847,104/x
  3. Step 3: Cross multiply
    365,568x = 847,104 × 847,104
  4. Step 4: Simplify right side
    365,568x = 717,585,186,816
  5. Step 5: Solve for x
    x = 717,585,186,816/365,568
  6. Step 6: Final answer
    x = 1,962,932.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.