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Finding the Third Proportional to 457,926 and 673,167

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Solution

The third proportional to 457,926 and 673,167 is: 989,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,926 : 673,167 = 673,167 : x
  2. Step 2: Convert to fraction form
    457,926/673,167 = 673,167/x
  3. Step 3: Cross multiply
    457,926x = 673,167 × 673,167
  4. Step 4: Simplify right side
    457,926x = 453,153,809,889
  5. Step 5: Solve for x
    x = 453,153,809,889/457,926
  6. Step 6: Final answer
    x = 989,578.69

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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.