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Finding the Third Proportional to 294,678 and 453,204

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Solution

The third proportional to 294,678 and 453,204 is: 697,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,678 : 453,204 = 453,204 : x
  2. Step 2: Convert to fraction form
    294,678/453,204 = 453,204/x
  3. Step 3: Cross multiply
    294,678x = 453,204 × 453,204
  4. Step 4: Simplify right side
    294,678x = 205,393,865,616
  5. Step 5: Solve for x
    x = 205,393,865,616/294,678
  6. Step 6: Final answer
    x = 697,011.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.