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Finding the Third Proportional to 448,952.63 and 673,408.69

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Solution

The third proportional to 448,952.63 and 673,408.69 is: 1,010,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,952.63 : 673,408.69 = 673,408.69 : x
  2. Step 2: Convert to fraction form
    448,952.63/673,408.69 = 673,408.69/x
  3. Step 3: Cross multiply
    448,952.63x = 673,408.69 × 673,408.69
  4. Step 4: Simplify right side
    448,952.63x = 453,479,260,400.47
  5. Step 5: Solve for x
    x = 453,479,260,400.47/448,952.63
  6. Step 6: Final answer
    x = 1,010,082.66

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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.