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Finding the Third Proportional to 364,774 and 582,732

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Solution

The third proportional to 364,774 and 582,732 is: 930,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,774 : 582,732 = 582,732 : x
  2. Step 2: Convert to fraction form
    364,774/582,732 = 582,732/x
  3. Step 3: Cross multiply
    364,774x = 582,732 × 582,732
  4. Step 4: Simplify right side
    364,774x = 339,576,583,824
  5. Step 5: Solve for x
    x = 339,576,583,824/364,774
  6. Step 6: Final answer
    x = 930,923.21

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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.