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Finding the Third Proportional to 507,661 and 673,873

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Solution

The third proportional to 507,661 and 673,873 is: 894,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,661 : 673,873 = 673,873 : x
  2. Step 2: Convert to fraction form
    507,661/673,873 = 673,873/x
  3. Step 3: Cross multiply
    507,661x = 673,873 × 673,873
  4. Step 4: Simplify right side
    507,661x = 454,104,820,129
  5. Step 5: Solve for x
    x = 454,104,820,129/507,661
  6. Step 6: Final answer
    x = 894,504.05

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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.