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Finding the Third Proportional to 376,452 and 810,576

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Solution

The third proportional to 376,452 and 810,576 is: 1,745,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,452 : 810,576 = 810,576 : x
  2. Step 2: Convert to fraction form
    376,452/810,576 = 810,576/x
  3. Step 3: Cross multiply
    376,452x = 810,576 × 810,576
  4. Step 4: Simplify right side
    376,452x = 657,033,451,776
  5. Step 5: Solve for x
    x = 657,033,451,776/376,452
  6. Step 6: Final answer
    x = 1,745,331.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.