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Finding the Third Proportional to 294,453 and 444,141

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Solution

The third proportional to 294,453 and 444,141 is: 669,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,453 : 444,141 = 444,141 : x
  2. Step 2: Convert to fraction form
    294,453/444,141 = 444,141/x
  3. Step 3: Cross multiply
    294,453x = 444,141 × 444,141
  4. Step 4: Simplify right side
    294,453x = 197,261,227,881
  5. Step 5: Solve for x
    x = 197,261,227,881/294,453
  6. Step 6: Final answer
    x = 669,924.33

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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.