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Finding the Third Proportional to 507,659 and 673,872

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Solution

The third proportional to 507,659 and 673,872 is: 894,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,659 : 673,872 = 673,872 : x
  2. Step 2: Convert to fraction form
    507,659/673,872 = 673,872/x
  3. Step 3: Cross multiply
    507,659x = 673,872 × 673,872
  4. Step 4: Simplify right side
    507,659x = 454,103,472,384
  5. Step 5: Solve for x
    x = 454,103,472,384/507,659
  6. Step 6: Final answer
    x = 894,504.92

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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.