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Finding the Third Proportional to 507,673 and 673,889

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Solution

The third proportional to 507,673 and 673,889 is: 894,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,673 : 673,889 = 673,889 : x
  2. Step 2: Convert to fraction form
    507,673/673,889 = 673,889/x
  3. Step 3: Cross multiply
    507,673x = 673,889 × 673,889
  4. Step 4: Simplify right side
    507,673x = 454,126,384,321
  5. Step 5: Solve for x
    x = 454,126,384,321/507,673
  6. Step 6: Final answer
    x = 894,525.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.