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Finding the Third Proportional to 294,844.50 and 441,804.38

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Solution

The third proportional to 294,844.50 and 441,804.38 is: 662,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,844.50 : 441,804.38 = 441,804.38 : x
  2. Step 2: Convert to fraction form
    294,844.50/441,804.38 = 441,804.38/x
  3. Step 3: Cross multiply
    294,844.50x = 441,804.38 × 441,804.38
  4. Step 4: Simplify right side
    294,844.50x = 195,191,105,769.14
  5. Step 5: Solve for x
    x = 195,191,105,769.14/294,844.50
  6. Step 6: Final answer
    x = 662,013.73

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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.