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Finding the Third Proportional to 383,643 and 601,849

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Solution

The third proportional to 383,643 and 601,849 is: 944,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,643 : 601,849 = 601,849 : x
  2. Step 2: Convert to fraction form
    383,643/601,849 = 601,849/x
  3. Step 3: Cross multiply
    383,643x = 601,849 × 601,849
  4. Step 4: Simplify right side
    383,643x = 362,222,218,801
  5. Step 5: Solve for x
    x = 362,222,218,801/383,643
  6. Step 6: Final answer
    x = 944,164.81

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