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Finding the Third Proportional to 294,885 and 444,771

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Solution

The third proportional to 294,885 and 444,771 is: 670,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,885 : 444,771 = 444,771 : x
  2. Step 2: Convert to fraction form
    294,885/444,771 = 444,771/x
  3. Step 3: Cross multiply
    294,885x = 444,771 × 444,771
  4. Step 4: Simplify right side
    294,885x = 197,821,242,441
  5. Step 5: Solve for x
    x = 197,821,242,441/294,885
  6. Step 6: Final answer
    x = 670,842.00

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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.