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Finding the Third Proportional to 241,884 and 525,753

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Solution

The third proportional to 241,884 and 525,753 is: 1,142,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,884 : 525,753 = 525,753 : x
  2. Step 2: Convert to fraction form
    241,884/525,753 = 525,753/x
  3. Step 3: Cross multiply
    241,884x = 525,753 × 525,753
  4. Step 4: Simplify right side
    241,884x = 276,416,217,009
  5. Step 5: Solve for x
    x = 276,416,217,009/241,884
  6. Step 6: Final answer
    x = 1,142,763.54

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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.