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Finding the Third Proportional to 383,937.75 and 835,597.13

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Solution

The third proportional to 383,937.75 and 835,597.13 is: 1,818,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,937.75 : 835,597.13 = 835,597.13 : x
  2. Step 2: Convert to fraction form
    383,937.75/835,597.13 = 835,597.13/x
  3. Step 3: Cross multiply
    383,937.75x = 835,597.13 × 835,597.13
  4. Step 4: Simplify right side
    383,937.75x = 698,222,555,308.27
  5. Step 5: Solve for x
    x = 698,222,555,308.27/383,937.75
  6. Step 6: Final answer
    x = 1,818,582.71

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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.