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Finding the Third Proportional to 217,484 and 477,736

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Solution

The third proportional to 217,484 and 477,736 is: 1,049,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,484 : 477,736 = 477,736 : x
  2. Step 2: Convert to fraction form
    217,484/477,736 = 477,736/x
  3. Step 3: Cross multiply
    217,484x = 477,736 × 477,736
  4. Step 4: Simplify right side
    217,484x = 228,231,685,696
  5. Step 5: Solve for x
    x = 228,231,685,696/217,484
  6. Step 6: Final answer
    x = 1,049,418.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.