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Finding the Third Proportional to 217,482 and 477,732

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Solution

The third proportional to 217,482 and 477,732 is: 1,049,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,482 : 477,732 = 477,732 : x
  2. Step 2: Convert to fraction form
    217,482/477,732 = 477,732/x
  3. Step 3: Cross multiply
    217,482x = 477,732 × 477,732
  4. Step 4: Simplify right side
    217,482x = 228,227,863,824
  5. Step 5: Solve for x
    x = 228,227,863,824/217,482
  6. Step 6: Final answer
    x = 1,049,410.36

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Why These Related Problems?

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