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Finding the Third Proportional to 383,040 and 777,024

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Solution

The third proportional to 383,040 and 777,024 is: 1,576,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,040 : 777,024 = 777,024 : x
  2. Step 2: Convert to fraction form
    383,040/777,024 = 777,024/x
  3. Step 3: Cross multiply
    383,040x = 777,024 × 777,024
  4. Step 4: Simplify right side
    383,040x = 603,766,296,576
  5. Step 5: Solve for x
    x = 603,766,296,576/383,040
  6. Step 6: Final answer
    x = 1,576,248.69

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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.