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Finding the Third Proportional to 394,890.19 and 852,823.69

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Solution

The third proportional to 394,890.19 and 852,823.69 is: 1,841,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,890.19 : 852,823.69 = 852,823.69 : x
  2. Step 2: Convert to fraction form
    394,890.19/852,823.69 = 852,823.69/x
  3. Step 3: Cross multiply
    394,890.19x = 852,823.69 × 852,823.69
  4. Step 4: Simplify right side
    394,890.19x = 727,308,241,961.10
  5. Step 5: Solve for x
    x = 727,308,241,961.10/394,890.19
  6. Step 6: Final answer
    x = 1,841,798.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.