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Finding the Third Proportional to 449,184 and 673,084

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Solution

The third proportional to 449,184 and 673,084 is: 1,008,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,184 : 673,084 = 673,084 : x
  2. Step 2: Convert to fraction form
    449,184/673,084 = 673,084/x
  3. Step 3: Cross multiply
    449,184x = 673,084 × 673,084
  4. Step 4: Simplify right side
    449,184x = 453,042,071,056
  5. Step 5: Solve for x
    x = 453,042,071,056/449,184
  6. Step 6: Final answer
    x = 1,008,589.07

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Why These Related Problems?

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