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Finding the Third Proportional to 449,191.75 and 673,095.75

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Solution

The third proportional to 449,191.75 and 673,095.75 is: 1,008,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,191.75 : 673,095.75 = 673,095.75 : x
  2. Step 2: Convert to fraction form
    449,191.75/673,095.75 = 673,095.75/x
  3. Step 3: Cross multiply
    449,191.75x = 673,095.75 × 673,095.75
  4. Step 4: Simplify right side
    449,191.75x = 453,057,888,668.06
  5. Step 5: Solve for x
    x = 453,057,888,668.06/449,191.75
  6. Step 6: Final answer
    x = 1,008,606.88

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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.