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Finding the Third Proportional to 216,736 and 463,516

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Solution

The third proportional to 216,736 and 463,516 is: 991,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,736 : 463,516 = 463,516 : x
  2. Step 2: Convert to fraction form
    216,736/463,516 = 463,516/x
  3. Step 3: Cross multiply
    216,736x = 463,516 × 463,516
  4. Step 4: Simplify right side
    216,736x = 214,847,082,256
  5. Step 5: Solve for x
    x = 214,847,082,256/216,736
  6. Step 6: Final answer
    x = 991,284.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.