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Finding the Third Proportional to 356,576 and 777,104

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Solution

The third proportional to 356,576 and 777,104 is: 1,693,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,576 : 777,104 = 777,104 : x
  2. Step 2: Convert to fraction form
    356,576/777,104 = 777,104/x
  3. Step 3: Cross multiply
    356,576x = 777,104 × 777,104
  4. Step 4: Simplify right side
    356,576x = 603,890,626,816
  5. Step 5: Solve for x
    x = 603,890,626,816/356,576
  6. Step 6: Final answer
    x = 1,693,581.81

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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.