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Finding the Third Proportional to 294,898 and 444,790

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Solution

The third proportional to 294,898 and 444,790 is: 670,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,898 : 444,790 = 444,790 : x
  2. Step 2: Convert to fraction form
    294,898/444,790 = 444,790/x
  3. Step 3: Cross multiply
    294,898x = 444,790 × 444,790
  4. Step 4: Simplify right side
    294,898x = 197,838,144,100
  5. Step 5: Solve for x
    x = 197,838,144,100/294,898
  6. Step 6: Final answer
    x = 670,869.74

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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.