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Finding the Third Proportional to 458,022 and 673,344

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Solution

The third proportional to 458,022 and 673,344 is: 989,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,022 : 673,344 = 673,344 : x
  2. Step 2: Convert to fraction form
    458,022/673,344 = 673,344/x
  3. Step 3: Cross multiply
    458,022x = 673,344 × 673,344
  4. Step 4: Simplify right side
    458,022x = 453,392,142,336
  5. Step 5: Solve for x
    x = 453,392,142,336/458,022
  6. Step 6: Final answer
    x = 989,891.63

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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.