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Finding the Third Proportional to 362,408 and 736,845

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Solution

The third proportional to 362,408 and 736,845 is: 1,498,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,408 : 736,845 = 736,845 : x
  2. Step 2: Convert to fraction form
    362,408/736,845 = 736,845/x
  3. Step 3: Cross multiply
    362,408x = 736,845 × 736,845
  4. Step 4: Simplify right side
    362,408x = 542,940,554,025
  5. Step 5: Solve for x
    x = 542,940,554,025/362,408
  6. Step 6: Final answer
    x = 1,498,147.27

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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.