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Finding the Third Proportional to 355,380.75 and 838,932.75

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Solution

The third proportional to 355,380.75 and 838,932.75 is: 1,980,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,380.75 : 838,932.75 = 838,932.75 : x
  2. Step 2: Convert to fraction form
    355,380.75/838,932.75 = 838,932.75/x
  3. Step 3: Cross multiply
    355,380.75x = 838,932.75 × 838,932.75
  4. Step 4: Simplify right side
    355,380.75x = 703,808,159,022.56
  5. Step 5: Solve for x
    x = 703,808,159,022.56/355,380.75
  6. Step 6: Final answer
    x = 1,980,434.11

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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.