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Finding the Third Proportional to 294,846 and 441,806

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Solution

The third proportional to 294,846 and 441,806 is: 662,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,846 : 441,806 = 441,806 : x
  2. Step 2: Convert to fraction form
    294,846/441,806 = 441,806/x
  3. Step 3: Cross multiply
    294,846x = 441,806 × 441,806
  4. Step 4: Simplify right side
    294,846x = 195,192,541,636
  5. Step 5: Solve for x
    x = 195,192,541,636/294,846
  6. Step 6: Final answer
    x = 662,015.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.