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Finding the Third Proportional to 355,104 and 775,710

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Solution

The third proportional to 355,104 and 775,710 is: 1,694,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,104 : 775,710 = 775,710 : x
  2. Step 2: Convert to fraction form
    355,104/775,710 = 775,710/x
  3. Step 3: Cross multiply
    355,104x = 775,710 × 775,710
  4. Step 4: Simplify right side
    355,104x = 601,726,004,100
  5. Step 5: Solve for x
    x = 601,726,004,100/355,104
  6. Step 6: Final answer
    x = 1,694,506.41

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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.