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Finding the Third Proportional to 383,682 and 601,904

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Solution

The third proportional to 383,682 and 601,904 is: 944,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,682 : 601,904 = 601,904 : x
  2. Step 2: Convert to fraction form
    383,682/601,904 = 601,904/x
  3. Step 3: Cross multiply
    383,682x = 601,904 × 601,904
  4. Step 4: Simplify right side
    383,682x = 362,288,425,216
  5. Step 5: Solve for x
    x = 362,288,425,216/383,682
  6. Step 6: Final answer
    x = 944,241.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.