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Finding the Third Proportional to 219,534 and 446,844

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Solution

The third proportional to 219,534 and 446,844 is: 909,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,534 : 446,844 = 446,844 : x
  2. Step 2: Convert to fraction form
    219,534/446,844 = 446,844/x
  3. Step 3: Cross multiply
    219,534x = 446,844 × 446,844
  4. Step 4: Simplify right side
    219,534x = 199,669,560,336
  5. Step 5: Solve for x
    x = 199,669,560,336/219,534
  6. Step 6: Final answer
    x = 909,515.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.