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Finding the Third Proportional to 241,732 and 533,576

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Solution

The third proportional to 241,732 and 533,576 is: 1,177,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,732 : 533,576 = 533,576 : x
  2. Step 2: Convert to fraction form
    241,732/533,576 = 533,576/x
  3. Step 3: Cross multiply
    241,732x = 533,576 × 533,576
  4. Step 4: Simplify right side
    241,732x = 284,703,347,776
  5. Step 5: Solve for x
    x = 284,703,347,776/241,732
  6. Step 6: Final answer
    x = 1,177,764.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.