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Finding the Third Proportional to 463,893.50 and 718,286

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Solution

The third proportional to 463,893.50 and 718,286 is: 1,112,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,893.50 : 718,286 = 718,286 : x
  2. Step 2: Convert to fraction form
    463,893.50/718,286 = 718,286/x
  3. Step 3: Cross multiply
    463,893.50x = 718,286 × 718,286
  4. Step 4: Simplify right side
    463,893.50x = 515,934,777,796
  5. Step 5: Solve for x
    x = 515,934,777,796/463,893.50
  6. Step 6: Final answer
    x = 1,112,183.68

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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.