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Finding the Third Proportional to 244,555 and 364,576

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Solution

The third proportional to 244,555 and 364,576 is: 543,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,555 : 364,576 = 364,576 : x
  2. Step 2: Convert to fraction form
    244,555/364,576 = 364,576/x
  3. Step 3: Cross multiply
    244,555x = 364,576 × 364,576
  4. Step 4: Simplify right side
    244,555x = 132,915,659,776
  5. Step 5: Solve for x
    x = 132,915,659,776/244,555
  6. Step 6: Final answer
    x = 543,500.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.