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Finding the Third Proportional to 294,802 and 444,639

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Solution

The third proportional to 294,802 and 444,639 is: 670,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,802 : 444,639 = 444,639 : x
  2. Step 2: Convert to fraction form
    294,802/444,639 = 444,639/x
  3. Step 3: Cross multiply
    294,802x = 444,639 × 444,639
  4. Step 4: Simplify right side
    294,802x = 197,703,840,321
  5. Step 5: Solve for x
    x = 197,703,840,321/294,802
  6. Step 6: Final answer
    x = 670,632.63

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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.