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Finding the Third Proportional to 375,896 and 582,933

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Solution

The third proportional to 375,896 and 582,933 is: 904,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,896 : 582,933 = 582,933 : x
  2. Step 2: Convert to fraction form
    375,896/582,933 = 582,933/x
  3. Step 3: Cross multiply
    375,896x = 582,933 × 582,933
  4. Step 4: Simplify right side
    375,896x = 339,810,882,489
  5. Step 5: Solve for x
    x = 339,810,882,489/375,896
  6. Step 6: Final answer
    x = 904,002.39

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