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Finding the Third Proportional to 375,728 and 582,816

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Solution

The third proportional to 375,728 and 582,816 is: 904,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,728 : 582,816 = 582,816 : x
  2. Step 2: Convert to fraction form
    375,728/582,816 = 582,816/x
  3. Step 3: Cross multiply
    375,728x = 582,816 × 582,816
  4. Step 4: Simplify right side
    375,728x = 339,674,489,856
  5. Step 5: Solve for x
    x = 339,674,489,856/375,728
  6. Step 6: Final answer
    x = 904,043.59

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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.