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Finding the Third Proportional to 362,360 and 796,408

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Solution

The third proportional to 362,360 and 796,408 is: 1,750,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,360 : 796,408 = 796,408 : x
  2. Step 2: Convert to fraction form
    362,360/796,408 = 796,408/x
  3. Step 3: Cross multiply
    362,360x = 796,408 × 796,408
  4. Step 4: Simplify right side
    362,360x = 634,265,702,464
  5. Step 5: Solve for x
    x = 634,265,702,464/362,360
  6. Step 6: Final answer
    x = 1,750,374.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.