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Finding the Third Proportional to 294,855 and 441,818

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Solution

The third proportional to 294,855 and 441,818 is: 662,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,855 : 441,818 = 441,818 : x
  2. Step 2: Convert to fraction form
    294,855/441,818 = 441,818/x
  3. Step 3: Cross multiply
    294,855x = 441,818 × 441,818
  4. Step 4: Simplify right side
    294,855x = 195,203,145,124
  5. Step 5: Solve for x
    x = 195,203,145,124/294,855
  6. Step 6: Final answer
    x = 662,030.98

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