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Finding the Third Proportional to 505,304 and 1,095,593

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Solution

The third proportional to 505,304 and 1,095,593 is: 2,375,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,304 : 1,095,593 = 1,095,593 : x
  2. Step 2: Convert to fraction form
    505,304/1,095,593 = 1,095,593/x
  3. Step 3: Cross multiply
    505,304x = 1,095,593 × 1,095,593
  4. Step 4: Simplify right side
    505,304x = 1,200,324,021,649
  5. Step 5: Solve for x
    x = 1,200,324,021,649/505,304
  6. Step 6: Final answer
    x = 2,375,449.28

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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.