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Finding the Third Proportional to 383,085 and 777,114

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Solution

The third proportional to 383,085 and 777,114 is: 1,576,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,085 : 777,114 = 777,114 : x
  2. Step 2: Convert to fraction form
    383,085/777,114 = 777,114/x
  3. Step 3: Cross multiply
    383,085x = 777,114 × 777,114
  4. Step 4: Simplify right side
    383,085x = 603,906,168,996
  5. Step 5: Solve for x
    x = 603,906,168,996/383,085
  6. Step 6: Final answer
    x = 1,576,428.65

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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.