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Finding the Third Proportional to 376,011 and 582,510

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Solution

The third proportional to 376,011 and 582,510 is: 902,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,011 : 582,510 = 582,510 : x
  2. Step 2: Convert to fraction form
    376,011/582,510 = 582,510/x
  3. Step 3: Cross multiply
    376,011x = 582,510 × 582,510
  4. Step 4: Simplify right side
    376,011x = 339,317,900,100
  5. Step 5: Solve for x
    x = 339,317,900,100/376,011
  6. Step 6: Final answer
    x = 902,414.82

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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.