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Finding the Third Proportional to 294,842.63 and 441,801.38

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Solution

The third proportional to 294,842.63 and 441,801.38 is: 662,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,842.63 : 441,801.38 = 441,801.38 : x
  2. Step 2: Convert to fraction form
    294,842.63/441,801.38 = 441,801.38/x
  3. Step 3: Cross multiply
    294,842.63x = 441,801.38 × 441,801.38
  4. Step 4: Simplify right side
    294,842.63x = 195,188,454,951.89
  5. Step 5: Solve for x
    x = 195,188,454,951.89/294,842.63
  6. Step 6: Final answer
    x = 662,008.94

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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.