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Finding the Third Proportional to 241,576 and 355,259

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Solution

The third proportional to 241,576 and 355,259 is: 522,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,576 : 355,259 = 355,259 : x
  2. Step 2: Convert to fraction form
    241,576/355,259 = 355,259/x
  3. Step 3: Cross multiply
    241,576x = 355,259 × 355,259
  4. Step 4: Simplify right side
    241,576x = 126,208,957,081
  5. Step 5: Solve for x
    x = 126,208,957,081/241,576
  6. Step 6: Final answer
    x = 522,439.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.