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Finding the Third Proportional to 355,050 and 775,116

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Solution

The third proportional to 355,050 and 775,116 is: 1,692,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,050 : 775,116 = 775,116 : x
  2. Step 2: Convert to fraction form
    355,050/775,116 = 775,116/x
  3. Step 3: Cross multiply
    355,050x = 775,116 × 775,116
  4. Step 4: Simplify right side
    355,050x = 600,804,813,456
  5. Step 5: Solve for x
    x = 600,804,813,456/355,050
  6. Step 6: Final answer
    x = 1,692,169.59

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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.