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Finding the Third Proportional to 244,614 and 389,156

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Solution

The third proportional to 244,614 and 389,156 is: 619,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,614 : 389,156 = 389,156 : x
  2. Step 2: Convert to fraction form
    244,614/389,156 = 389,156/x
  3. Step 3: Cross multiply
    244,614x = 389,156 × 389,156
  4. Step 4: Simplify right side
    244,614x = 151,442,392,336
  5. Step 5: Solve for x
    x = 151,442,392,336/244,614
  6. Step 6: Final answer
    x = 619,107.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.