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Finding the Third Proportional to 376,265 and 582,852

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Solution

The third proportional to 376,265 and 582,852 is: 902,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,265 : 582,852 = 582,852 : x
  2. Step 2: Convert to fraction form
    376,265/582,852 = 582,852/x
  3. Step 3: Cross multiply
    376,265x = 582,852 × 582,852
  4. Step 4: Simplify right side
    376,265x = 339,716,453,904
  5. Step 5: Solve for x
    x = 339,716,453,904/376,265
  6. Step 6: Final answer
    x = 902,864.88

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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.