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Finding the Third Proportional to 394,888.50 and 852,818.63

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Solution

The third proportional to 394,888.50 and 852,818.63 is: 1,841,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,888.50 : 852,818.63 = 852,818.63 : x
  2. Step 2: Convert to fraction form
    394,888.50/852,818.63 = 852,818.63/x
  3. Step 3: Cross multiply
    394,888.50x = 852,818.63 × 852,818.63
  4. Step 4: Simplify right side
    394,888.50x = 727,299,607,146.89
  5. Step 5: Solve for x
    x = 727,299,607,146.89/394,888.50
  6. Step 6: Final answer
    x = 1,841,784.72

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