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Finding the Third Proportional to 376,212 and 820,968

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Solution

The third proportional to 376,212 and 820,968 is: 1,791,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,212 : 820,968 = 820,968 : x
  2. Step 2: Convert to fraction form
    376,212/820,968 = 820,968/x
  3. Step 3: Cross multiply
    376,212x = 820,968 × 820,968
  4. Step 4: Simplify right side
    376,212x = 673,988,457,024
  5. Step 5: Solve for x
    x = 673,988,457,024/376,212
  6. Step 6: Final answer
    x = 1,791,512.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.