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Finding the Third Proportional to 294,866 and 444,732

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Solution

The third proportional to 294,866 and 444,732 is: 670,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,866 : 444,732 = 444,732 : x
  2. Step 2: Convert to fraction form
    294,866/444,732 = 444,732/x
  3. Step 3: Cross multiply
    294,866x = 444,732 × 444,732
  4. Step 4: Simplify right side
    294,866x = 197,786,551,824
  5. Step 5: Solve for x
    x = 197,786,551,824/294,866
  6. Step 6: Final answer
    x = 670,767.58

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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.