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Finding the Third Proportional to 351,283.50 and 828,979.31

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Solution

The third proportional to 351,283.50 and 828,979.31 is: 1,956,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,283.50 : 828,979.31 = 828,979.31 : x
  2. Step 2: Convert to fraction form
    351,283.50/828,979.31 = 828,979.31/x
  3. Step 3: Cross multiply
    351,283.50x = 828,979.31 × 828,979.31
  4. Step 4: Simplify right side
    351,283.50x = 687,206,700,552.97
  5. Step 5: Solve for x
    x = 687,206,700,552.97/351,283.50
  6. Step 6: Final answer
    x = 1,956,273.78

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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.