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Finding the Third Proportional to 393,483.94 and 847,169.44

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Solution

The third proportional to 393,483.94 and 847,169.44 is: 1,823,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,483.94 : 847,169.44 = 847,169.44 : x
  2. Step 2: Convert to fraction form
    393,483.94/847,169.44 = 847,169.44/x
  3. Step 3: Cross multiply
    393,483.94x = 847,169.44 × 847,169.44
  4. Step 4: Simplify right side
    393,483.94x = 717,696,055,834.07
  5. Step 5: Solve for x
    x = 717,696,055,834.07/393,483.94
  6. Step 6: Final answer
    x = 1,823,952.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.