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Finding the Third Proportional to 387,450 and 520,668

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Solution

The third proportional to 387,450 and 520,668 is: 699,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,450 : 520,668 = 520,668 : x
  2. Step 2: Convert to fraction form
    387,450/520,668 = 520,668/x
  3. Step 3: Cross multiply
    387,450x = 520,668 × 520,668
  4. Step 4: Simplify right side
    387,450x = 271,095,166,224
  5. Step 5: Solve for x
    x = 271,095,166,224/387,450
  6. Step 6: Final answer
    x = 699,690.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.