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Finding the Third Proportional to 364,834 and 582,813

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Solution

The third proportional to 364,834 and 582,813 is: 931,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,834 : 582,813 = 582,813 : x
  2. Step 2: Convert to fraction form
    364,834/582,813 = 582,813/x
  3. Step 3: Cross multiply
    364,834x = 582,813 × 582,813
  4. Step 4: Simplify right side
    364,834x = 339,670,992,969
  5. Step 5: Solve for x
    x = 339,670,992,969/364,834
  6. Step 6: Final answer
    x = 931,028.89

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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.