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Finding the Third Proportional to 395,420.06 and 818,879.63

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Solution

The third proportional to 395,420.06 and 818,879.63 is: 1,695,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,420.06 : 818,879.63 = 818,879.63 : x
  2. Step 2: Convert to fraction form
    395,420.06/818,879.63 = 818,879.63/x
  3. Step 3: Cross multiply
    395,420.06x = 818,879.63 × 818,879.63
  4. Step 4: Simplify right side
    395,420.06x = 670,563,840,240.14
  5. Step 5: Solve for x
    x = 670,563,840,240.14/395,420.06
  6. Step 6: Final answer
    x = 1,695,826.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.