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Finding the Third Proportional to 294,845 and 441,804

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Solution

The third proportional to 294,845 and 441,804 is: 662,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,845 : 441,804 = 441,804 : x
  2. Step 2: Convert to fraction form
    294,845/441,804 = 441,804/x
  3. Step 3: Cross multiply
    294,845x = 441,804 × 441,804
  4. Step 4: Simplify right side
    294,845x = 195,190,774,416
  5. Step 5: Solve for x
    x = 195,190,774,416/294,845
  6. Step 6: Final answer
    x = 662,011.48

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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.