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Finding the Third Proportional to 241,010 and 524,932

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Solution

The third proportional to 241,010 and 524,932 is: 1,143,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,010 : 524,932 = 524,932 : x
  2. Step 2: Convert to fraction form
    241,010/524,932 = 524,932/x
  3. Step 3: Cross multiply
    241,010x = 524,932 × 524,932
  4. Step 4: Simplify right side
    241,010x = 275,553,604,624
  5. Step 5: Solve for x
    x = 275,553,604,624/241,010
  6. Step 6: Final answer
    x = 1,143,328.51

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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.