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Finding the Third Proportional to 383,066 and 777,074

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Solution

The third proportional to 383,066 and 777,074 is: 1,576,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,066 : 777,074 = 777,074 : x
  2. Step 2: Convert to fraction form
    383,066/777,074 = 777,074/x
  3. Step 3: Cross multiply
    383,066x = 777,074 × 777,074
  4. Step 4: Simplify right side
    383,066x = 603,844,001,476
  5. Step 5: Solve for x
    x = 603,844,001,476/383,066
  6. Step 6: Final answer
    x = 1,576,344.55

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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.