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Finding the Third Proportional to 208,766.25 and 457,431.75

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Solution

The third proportional to 208,766.25 and 457,431.75 is: 1,002,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,766.25 : 457,431.75 = 457,431.75 : x
  2. Step 2: Convert to fraction form
    208,766.25/457,431.75 = 457,431.75/x
  3. Step 3: Cross multiply
    208,766.25x = 457,431.75 × 457,431.75
  4. Step 4: Simplify right side
    208,766.25x = 209,243,805,908.06
  5. Step 5: Solve for x
    x = 209,243,805,908.06/208,766.25
  6. Step 6: Final answer
    x = 1,002,287.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.