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Finding the Third Proportional to 294,883.88 and 444,762.56

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Solution

The third proportional to 294,883.88 and 444,762.56 is: 670,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,883.88 : 444,762.56 = 444,762.56 : x
  2. Step 2: Convert to fraction form
    294,883.88/444,762.56 = 444,762.56/x
  3. Step 3: Cross multiply
    294,883.88x = 444,762.56 × 444,762.56
  4. Step 4: Simplify right side
    294,883.88x = 197,813,737,001.57
  5. Step 5: Solve for x
    x = 197,813,737,001.57/294,883.88
  6. Step 6: Final answer
    x = 670,819.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.