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Finding the Third Proportional to 375,929.44 and 582,983.44

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Solution

The third proportional to 375,929.44 and 582,983.44 is: 904,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,929.44 : 582,983.44 = 582,983.44 : x
  2. Step 2: Convert to fraction form
    375,929.44/582,983.44 = 582,983.44/x
  3. Step 3: Cross multiply
    375,929.44x = 582,983.44 × 582,983.44
  4. Step 4: Simplify right side
    375,929.44x = 339,869,688,399.32
  5. Step 5: Solve for x
    x = 339,869,688,399.32/375,929.44
  6. Step 6: Final answer
    x = 904,078.41

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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.