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Finding the Third Proportional to 299,134 and 448,919

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Solution

The third proportional to 299,134 and 448,919 is: 673,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,134 : 448,919 = 448,919 : x
  2. Step 2: Convert to fraction form
    299,134/448,919 = 448,919/x
  3. Step 3: Cross multiply
    299,134x = 448,919 × 448,919
  4. Step 4: Simplify right side
    299,134x = 201,528,268,561
  5. Step 5: Solve for x
    x = 201,528,268,561/299,134
  6. Step 6: Final answer
    x = 673,705.66

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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.