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Finding the Third Proportional to 376,016 and 582,506

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Solution

The third proportional to 376,016 and 582,506 is: 902,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,016 : 582,506 = 582,506 : x
  2. Step 2: Convert to fraction form
    376,016/582,506 = 582,506/x
  3. Step 3: Cross multiply
    376,016x = 582,506 × 582,506
  4. Step 4: Simplify right side
    376,016x = 339,313,240,036
  5. Step 5: Solve for x
    x = 339,313,240,036/376,016
  6. Step 6: Final answer
    x = 902,390.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.