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Finding the Third Proportional to 364,832 and 582,814

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Solution

The third proportional to 364,832 and 582,814 is: 931,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,832 : 582,814 = 582,814 : x
  2. Step 2: Convert to fraction form
    364,832/582,814 = 582,814/x
  3. Step 3: Cross multiply
    364,832x = 582,814 × 582,814
  4. Step 4: Simplify right side
    364,832x = 339,672,158,596
  5. Step 5: Solve for x
    x = 339,672,158,596/364,832
  6. Step 6: Final answer
    x = 931,037.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.