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Finding the Third Proportional to 375,894 and 582,930

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Solution

The third proportional to 375,894 and 582,930 is: 903,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,894 : 582,930 = 582,930 : x
  2. Step 2: Convert to fraction form
    375,894/582,930 = 582,930/x
  3. Step 3: Cross multiply
    375,894x = 582,930 × 582,930
  4. Step 4: Simplify right side
    375,894x = 339,807,384,900
  5. Step 5: Solve for x
    x = 339,807,384,900/375,894
  6. Step 6: Final answer
    x = 903,997.90

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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.