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Finding the Third Proportional to 297,386.44 and 448,836.19

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Solution

The third proportional to 297,386.44 and 448,836.19 is: 677,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,386.44 : 448,836.19 = 448,836.19 : x
  2. Step 2: Convert to fraction form
    297,386.44/448,836.19 = 448,836.19/x
  3. Step 3: Cross multiply
    297,386.44x = 448,836.19 × 448,836.19
  4. Step 4: Simplify right side
    297,386.44x = 201,453,923,209.54
  5. Step 5: Solve for x
    x = 201,453,923,209.54/297,386.44
  6. Step 6: Final answer
    x = 677,414.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.