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Finding the Third Proportional to 375,899 and 582,938

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Solution

The third proportional to 375,899 and 582,938 is: 904,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,899 : 582,938 = 582,938 : x
  2. Step 2: Convert to fraction form
    375,899/582,938 = 582,938/x
  3. Step 3: Cross multiply
    375,899x = 582,938 × 582,938
  4. Step 4: Simplify right side
    375,899x = 339,816,711,844
  5. Step 5: Solve for x
    x = 339,816,711,844/375,899
  6. Step 6: Final answer
    x = 904,010.68

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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.