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Finding the Third Proportional to 477,005.20 and 967,850.02

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Solution

The third proportional to 477,005.20 and 967,850.02 is: 1,963,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,005.20 : 967,850.02 = 967,850.02 : x
  2. Step 2: Convert to fraction form
    477,005.20/967,850.02 = 967,850.02/x
  3. Step 3: Cross multiply
    477,005.20x = 967,850.02 × 967,850.02
  4. Step 4: Simplify right side
    477,005.20x = 936,733,652,745.31
  5. Step 5: Solve for x
    x = 936,733,652,745.31/477,005.20
  6. Step 6: Final answer
    x = 1,963,780.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.