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Finding the Third Proportional to 318,816 and 676,512

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Solution

The third proportional to 318,816 and 676,512 is: 1,435,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,816 : 676,512 = 676,512 : x
  2. Step 2: Convert to fraction form
    318,816/676,512 = 676,512/x
  3. Step 3: Cross multiply
    318,816x = 676,512 × 676,512
  4. Step 4: Simplify right side
    318,816x = 457,668,486,144
  5. Step 5: Solve for x
    x = 457,668,486,144/318,816
  6. Step 6: Final answer
    x = 1,435,525.46

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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.