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Finding the Third Proportional to 354,450.94 and 777,791.81

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Solution

The third proportional to 354,450.94 and 777,791.81 is: 1,706,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,450.94 : 777,791.81 = 777,791.81 : x
  2. Step 2: Convert to fraction form
    354,450.94/777,791.81 = 777,791.81/x
  3. Step 3: Cross multiply
    354,450.94x = 777,791.81 × 777,791.81
  4. Step 4: Simplify right side
    354,450.94x = 604,960,103,592.04
  5. Step 5: Solve for x
    x = 604,960,103,592.04/354,450.94
  6. Step 6: Final answer
    x = 1,706,752.73

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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.