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Finding the Third Proportional to 263,094 and 578,676

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Solution

The third proportional to 263,094 and 578,676 is: 1,272,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,094 : 578,676 = 578,676 : x
  2. Step 2: Convert to fraction form
    263,094/578,676 = 578,676/x
  3. Step 3: Cross multiply
    263,094x = 578,676 × 578,676
  4. Step 4: Simplify right side
    263,094x = 334,865,912,976
  5. Step 5: Solve for x
    x = 334,865,912,976/263,094
  6. Step 6: Final answer
    x = 1,272,799.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.