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Finding the Third Proportional to 208,443.38 and 424,247.63

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Solution

The third proportional to 208,443.38 and 424,247.63 is: 863,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,443.38 : 424,247.63 = 424,247.63 : x
  2. Step 2: Convert to fraction form
    208,443.38/424,247.63 = 424,247.63/x
  3. Step 3: Cross multiply
    208,443.38x = 424,247.63 × 424,247.63
  4. Step 4: Simplify right side
    208,443.38x = 179,986,047,318.14
  5. Step 5: Solve for x
    x = 179,986,047,318.14/208,443.38
  6. Step 6: Final answer
    x = 863,476.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.