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Finding the Third Proportional to 318,898 and 676,668

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Solution

The third proportional to 318,898 and 676,668 is: 1,435,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,898 : 676,668 = 676,668 : x
  2. Step 2: Convert to fraction form
    318,898/676,668 = 676,668/x
  3. Step 3: Cross multiply
    318,898x = 676,668 × 676,668
  4. Step 4: Simplify right side
    318,898x = 457,879,582,224
  5. Step 5: Solve for x
    x = 457,879,582,224/318,898
  6. Step 6: Final answer
    x = 1,435,818.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.