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Finding the Third Proportional to 351,224.63 and 828,833.63

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Solution

The third proportional to 351,224.63 and 828,833.63 is: 1,955,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,224.63 : 828,833.63 = 828,833.63 : x
  2. Step 2: Convert to fraction form
    351,224.63/828,833.63 = 828,833.63/x
  3. Step 3: Cross multiply
    351,224.63x = 828,833.63 × 828,833.63
  4. Step 4: Simplify right side
    351,224.63x = 686,965,177,930.64
  5. Step 5: Solve for x
    x = 686,965,177,930.64/351,224.63
  6. Step 6: Final answer
    x = 1,955,914.05

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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.