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Finding the Third Proportional to 208,440 and 449,034

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Solution

The third proportional to 208,440 and 449,034 is: 967,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,440 : 449,034 = 449,034 : x
  2. Step 2: Convert to fraction form
    208,440/449,034 = 449,034/x
  3. Step 3: Cross multiply
    208,440x = 449,034 × 449,034
  4. Step 4: Simplify right side
    208,440x = 201,631,533,156
  5. Step 5: Solve for x
    x = 201,631,533,156/208,440
  6. Step 6: Final answer
    x = 967,336.08

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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.