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Finding the Third Proportional to 241,920 and 525,384

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Solution

The third proportional to 241,920 and 525,384 is: 1,140,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,920 : 525,384 = 525,384 : x
  2. Step 2: Convert to fraction form
    241,920/525,384 = 525,384/x
  3. Step 3: Cross multiply
    241,920x = 525,384 × 525,384
  4. Step 4: Simplify right side
    241,920x = 276,028,347,456
  5. Step 5: Solve for x
    x = 276,028,347,456/241,920
  6. Step 6: Final answer
    x = 1,140,990.19

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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.