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Finding the Third Proportional to 508,431.94 and 787,241.53

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Solution

The third proportional to 508,431.94 and 787,241.53 is: 1,218,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,431.94 : 787,241.53 = 787,241.53 : x
  2. Step 2: Convert to fraction form
    508,431.94/787,241.53 = 787,241.53/x
  3. Step 3: Cross multiply
    508,431.94x = 787,241.53 × 787,241.53
  4. Step 4: Simplify right side
    508,431.94x = 619,749,228,524.85
  5. Step 5: Solve for x
    x = 619,749,228,524.85/508,431.94
  6. Step 6: Final answer
    x = 1,218,942.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.