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Finding the Third Proportional to 286,770.38 and 443,824.31

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Solution

The third proportional to 286,770.38 and 443,824.31 is: 686,891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,770.38 : 443,824.31 = 443,824.31 : x
  2. Step 2: Convert to fraction form
    286,770.38/443,824.31 = 443,824.31/x
  3. Step 3: Cross multiply
    286,770.38x = 443,824.31 × 443,824.31
  4. Step 4: Simplify right side
    286,770.38x = 196,980,020,366.10
  5. Step 5: Solve for x
    x = 196,980,020,366.10/286,770.38
  6. Step 6: Final answer
    x = 686,891.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.