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Finding the Third Proportional to 458,082 and 673,443

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Solution

The third proportional to 458,082 and 673,443 is: 990,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,082 : 673,443 = 673,443 : x
  2. Step 2: Convert to fraction form
    458,082/673,443 = 673,443/x
  3. Step 3: Cross multiply
    458,082x = 673,443 × 673,443
  4. Step 4: Simplify right side
    458,082x = 453,525,474,249
  5. Step 5: Solve for x
    x = 453,525,474,249/458,082
  6. Step 6: Final answer
    x = 990,053.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.