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Finding the Third Proportional to 383,052 and 777,048

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Solution

The third proportional to 383,052 and 777,048 is: 1,576,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,052 : 777,048 = 777,048 : x
  2. Step 2: Convert to fraction form
    383,052/777,048 = 777,048/x
  3. Step 3: Cross multiply
    383,052x = 777,048 × 777,048
  4. Step 4: Simplify right side
    383,052x = 603,803,594,304
  5. Step 5: Solve for x
    x = 603,803,594,304/383,052
  6. Step 6: Final answer
    x = 1,576,296.68

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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.