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Finding the Third Proportional to 244,024 and 388,210

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Solution

The third proportional to 244,024 and 388,210 is: 617,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,024 : 388,210 = 388,210 : x
  2. Step 2: Convert to fraction form
    244,024/388,210 = 388,210/x
  3. Step 3: Cross multiply
    244,024x = 388,210 × 388,210
  4. Step 4: Simplify right side
    244,024x = 150,707,004,100
  5. Step 5: Solve for x
    x = 150,707,004,100/244,024
  6. Step 6: Final answer
    x = 617,590.91

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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.