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Finding the Third Proportional to 351,272.25 and 828,948.38

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Solution

The third proportional to 351,272.25 and 828,948.38 is: 1,956,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,272.25 : 828,948.38 = 828,948.38 : x
  2. Step 2: Convert to fraction form
    351,272.25/828,948.38 = 828,948.38/x
  3. Step 3: Cross multiply
    351,272.25x = 828,948.38 × 828,948.38
  4. Step 4: Simplify right side
    351,272.25x = 687,155,408,415.14
  5. Step 5: Solve for x
    x = 687,155,408,415.14/351,272.25
  6. Step 6: Final answer
    x = 1,956,190.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.