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Finding the Third Proportional to 241,562 and 524,744

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Solution

The third proportional to 241,562 and 524,744 is: 1,139,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,562 : 524,744 = 524,744 : x
  2. Step 2: Convert to fraction form
    241,562/524,744 = 524,744/x
  3. Step 3: Cross multiply
    241,562x = 524,744 × 524,744
  4. Step 4: Simplify right side
    241,562x = 275,356,265,536
  5. Step 5: Solve for x
    x = 275,356,265,536/241,562
  6. Step 6: Final answer
    x = 1,139,898.93

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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.