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Finding the Third Proportional to 244,477 and 389,011

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Solution

The third proportional to 244,477 and 389,011 is: 618,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,477 : 389,011 = 389,011 : x
  2. Step 2: Convert to fraction form
    244,477/389,011 = 389,011/x
  3. Step 3: Cross multiply
    244,477x = 389,011 × 389,011
  4. Step 4: Simplify right side
    244,477x = 151,329,558,121
  5. Step 5: Solve for x
    x = 151,329,558,121/244,477
  6. Step 6: Final answer
    x = 618,993.03

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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.