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Finding the Third Proportional to 507,668 and 673,883

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Solution

The third proportional to 507,668 and 673,883 is: 894,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,668 : 673,883 = 673,883 : x
  2. Step 2: Convert to fraction form
    507,668/673,883 = 673,883/x
  3. Step 3: Cross multiply
    507,668x = 673,883 × 673,883
  4. Step 4: Simplify right side
    507,668x = 454,118,297,689
  5. Step 5: Solve for x
    x = 454,118,297,689/507,668
  6. Step 6: Final answer
    x = 894,518.26

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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.