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Finding the Third Proportional to 208,180.41 and 447,935.63

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Solution

The third proportional to 208,180.41 and 447,935.63 is: 963,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,180.41 : 447,935.63 = 447,935.63 : x
  2. Step 2: Convert to fraction form
    208,180.41/447,935.63 = 447,935.63/x
  3. Step 3: Cross multiply
    208,180.41x = 447,935.63 × 447,935.63
  4. Step 4: Simplify right side
    208,180.41x = 200,646,324,144.14
  5. Step 5: Solve for x
    x = 200,646,324,144.14/208,180.41
  6. Step 6: Final answer
    x = 963,809.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.