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Finding the Third Proportional to 447,936.75 and 974,595.38

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Solution

The third proportional to 447,936.75 and 974,595.38 is: 2,120,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,936.75 : 974,595.38 = 974,595.38 : x
  2. Step 2: Convert to fraction form
    447,936.75/974,595.38 = 974,595.38/x
  3. Step 3: Cross multiply
    447,936.75x = 974,595.38 × 974,595.38
  4. Step 4: Simplify right side
    447,936.75x = 949,836,144,971.39
  5. Step 5: Solve for x
    x = 949,836,144,971.39/447,936.75
  6. Step 6: Final answer
    x = 2,120,469.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.