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Finding the Third Proportional to 355,114.13 and 769,277.25

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Solution

The third proportional to 355,114.13 and 769,277.25 is: 1,666,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,114.13 : 769,277.25 = 769,277.25 : x
  2. Step 2: Convert to fraction form
    355,114.13/769,277.25 = 769,277.25/x
  3. Step 3: Cross multiply
    355,114.13x = 769,277.25 × 769,277.25
  4. Step 4: Simplify right side
    355,114.13x = 591,787,487,367.56
  5. Step 5: Solve for x
    x = 591,787,487,367.56/355,114.13
  6. Step 6: Final answer
    x = 1,666,471.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.