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Finding the Third Proportional to 299,146 and 448,928

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Solution

The third proportional to 299,146 and 448,928 is: 673,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,146 : 448,928 = 448,928 : x
  2. Step 2: Convert to fraction form
    299,146/448,928 = 448,928/x
  3. Step 3: Cross multiply
    299,146x = 448,928 × 448,928
  4. Step 4: Simplify right side
    299,146x = 201,536,349,184
  5. Step 5: Solve for x
    x = 201,536,349,184/299,146
  6. Step 6: Final answer
    x = 673,705.65

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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.