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Finding the Third Proportional to 294,868 and 441,832

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Solution

The third proportional to 294,868 and 441,832 is: 662,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,868 : 441,832 = 441,832 : x
  2. Step 2: Convert to fraction form
    294,868/441,832 = 441,832/x
  3. Step 3: Cross multiply
    294,868x = 441,832 × 441,832
  4. Step 4: Simplify right side
    294,868x = 195,215,516,224
  5. Step 5: Solve for x
    x = 195,215,516,224/294,868
  6. Step 6: Final answer
    x = 662,043.75

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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.