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Finding the Third Proportional to 241,013 and 524,938

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Solution

The third proportional to 241,013 and 524,938 is: 1,143,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,013 : 524,938 = 524,938 : x
  2. Step 2: Convert to fraction form
    241,013/524,938 = 524,938/x
  3. Step 3: Cross multiply
    241,013x = 524,938 × 524,938
  4. Step 4: Simplify right side
    241,013x = 275,559,903,844
  5. Step 5: Solve for x
    x = 275,559,903,844/241,013
  6. Step 6: Final answer
    x = 1,143,340.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.