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Finding the Third Proportional to 383,636 and 601,797

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Solution

The third proportional to 383,636 and 601,797 is: 944,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,636 : 601,797 = 601,797 : x
  2. Step 2: Convert to fraction form
    383,636/601,797 = 601,797/x
  3. Step 3: Cross multiply
    383,636x = 601,797 × 601,797
  4. Step 4: Simplify right side
    383,636x = 362,159,629,209
  5. Step 5: Solve for x
    x = 362,159,629,209/383,636
  6. Step 6: Final answer
    x = 944,018.89

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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.