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Finding the Third Proportional to 383,090 and 777,116

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Solution

The third proportional to 383,090 and 777,116 is: 1,576,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,090 : 777,116 = 777,116 : x
  2. Step 2: Convert to fraction form
    383,090/777,116 = 777,116/x
  3. Step 3: Cross multiply
    383,090x = 777,116 × 777,116
  4. Step 4: Simplify right side
    383,090x = 603,909,277,456
  5. Step 5: Solve for x
    x = 603,909,277,456/383,090
  6. Step 6: Final answer
    x = 1,576,416.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.