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Finding the Third Proportional to 241,472 and 524,456

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Solution

The third proportional to 241,472 and 524,456 is: 1,139,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,472 : 524,456 = 524,456 : x
  2. Step 2: Convert to fraction form
    241,472/524,456 = 524,456/x
  3. Step 3: Cross multiply
    241,472x = 524,456 × 524,456
  4. Step 4: Simplify right side
    241,472x = 275,054,095,936
  5. Step 5: Solve for x
    x = 275,054,095,936/241,472
  6. Step 6: Final answer
    x = 1,139,072.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.