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Finding the Third Proportional to 384,520 and 582,516

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Solution

The third proportional to 384,520 and 582,516 is: 882,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,520 : 582,516 = 582,516 : x
  2. Step 2: Convert to fraction form
    384,520/582,516 = 582,516/x
  3. Step 3: Cross multiply
    384,520x = 582,516 × 582,516
  4. Step 4: Simplify right side
    384,520x = 339,324,890,256
  5. Step 5: Solve for x
    x = 339,324,890,256/384,520
  6. Step 6: Final answer
    x = 882,463.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.