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Finding the Third Proportional to 315,668 and 675,745

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Solution

The third proportional to 315,668 and 675,745 is: 1,446,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,668 : 675,745 = 675,745 : x
  2. Step 2: Convert to fraction form
    315,668/675,745 = 675,745/x
  3. Step 3: Cross multiply
    315,668x = 675,745 × 675,745
  4. Step 4: Simplify right side
    315,668x = 456,631,305,025
  5. Step 5: Solve for x
    x = 456,631,305,025/315,668
  6. Step 6: Final answer
    x = 1,446,555.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.