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Finding the Third Proportional to 298,896 and 448,704

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Solution

The third proportional to 298,896 and 448,704 is: 673,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,896 : 448,704 = 448,704 : x
  2. Step 2: Convert to fraction form
    298,896/448,704 = 448,704/x
  3. Step 3: Cross multiply
    298,896x = 448,704 × 448,704
  4. Step 4: Simplify right side
    298,896x = 201,335,279,616
  5. Step 5: Solve for x
    x = 201,335,279,616/298,896
  6. Step 6: Final answer
    x = 673,596.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.