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Finding the Third Proportional to 241,576 and 355,260

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Solution

The third proportional to 241,576 and 355,260 is: 522,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,576 : 355,260 = 355,260 : x
  2. Step 2: Convert to fraction form
    241,576/355,260 = 355,260/x
  3. Step 3: Cross multiply
    241,576x = 355,260 × 355,260
  4. Step 4: Simplify right side
    241,576x = 126,209,667,600
  5. Step 5: Solve for x
    x = 126,209,667,600/241,576
  6. Step 6: Final answer
    x = 522,442.91

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Why These Related Problems?

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