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Finding the Third Proportional to 449,196 and 673,102

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Solution

The third proportional to 449,196 and 673,102 is: 1,008,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,196 : 673,102 = 673,102 : x
  2. Step 2: Convert to fraction form
    449,196/673,102 = 673,102/x
  3. Step 3: Cross multiply
    449,196x = 673,102 × 673,102
  4. Step 4: Simplify right side
    449,196x = 453,066,302,404
  5. Step 5: Solve for x
    x = 453,066,302,404/449,196
  6. Step 6: Final answer
    x = 1,008,616.07

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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.