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Finding the Third Proportional to 351,222.75 and 828,829.13

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Solution

The third proportional to 351,222.75 and 828,829.13 is: 1,955,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,222.75 : 828,829.13 = 828,829.13 : x
  2. Step 2: Convert to fraction form
    351,222.75/828,829.13 = 828,829.13/x
  3. Step 3: Cross multiply
    351,222.75x = 828,829.13 × 828,829.13
  4. Step 4: Simplify right side
    351,222.75x = 686,957,718,448.27
  5. Step 5: Solve for x
    x = 686,957,718,448.27/351,222.75
  6. Step 6: Final answer
    x = 1,955,903.25

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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.