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Finding the Third Proportional to 217,827 and 477,728

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Solution

The third proportional to 217,827 and 477,728 is: 1,047,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,827 : 477,728 = 477,728 : x
  2. Step 2: Convert to fraction form
    217,827/477,728 = 477,728/x
  3. Step 3: Cross multiply
    217,827x = 477,728 × 477,728
  4. Step 4: Simplify right side
    217,827x = 228,224,041,984
  5. Step 5: Solve for x
    x = 228,224,041,984/217,827
  6. Step 6: Final answer
    x = 1,047,730.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.