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Finding the Third Proportional to 457,923 and 673,173

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Solution

The third proportional to 457,923 and 673,173 is: 989,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,923 : 673,173 = 673,173 : x
  2. Step 2: Convert to fraction form
    457,923/673,173 = 673,173/x
  3. Step 3: Cross multiply
    457,923x = 673,173 × 673,173
  4. Step 4: Simplify right side
    457,923x = 453,161,887,929
  5. Step 5: Solve for x
    x = 453,161,887,929/457,923
  6. Step 6: Final answer
    x = 989,602.81

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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.