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Finding the Third Proportional to 376,848 and 821,452

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Solution

The third proportional to 376,848 and 821,452 is: 1,790,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,848 : 821,452 = 821,452 : x
  2. Step 2: Convert to fraction form
    376,848/821,452 = 821,452/x
  3. Step 3: Cross multiply
    376,848x = 821,452 × 821,452
  4. Step 4: Simplify right side
    376,848x = 674,783,388,304
  5. Step 5: Solve for x
    x = 674,783,388,304/376,848
  6. Step 6: Final answer
    x = 1,790,598.30

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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.