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Finding the Third Proportional to 457,922 and 673,171

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Solution

The third proportional to 457,922 and 673,171 is: 989,599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,922 : 673,171 = 673,171 : x
  2. Step 2: Convert to fraction form
    457,922/673,171 = 673,171/x
  3. Step 3: Cross multiply
    457,922x = 673,171 × 673,171
  4. Step 4: Simplify right side
    457,922x = 453,159,195,241
  5. Step 5: Solve for x
    x = 453,159,195,241/457,922
  6. Step 6: Final answer
    x = 989,599.09

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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.