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Finding the Third Proportional to 299,413,110.50 and 655,268,794

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Solution

The third proportional to 299,413,110.50 and 655,268,794 is: 1,434,062,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,413,110.50 : 655,268,794 = 655,268,794 : x
  2. Step 2: Convert to fraction form
    299,413,110.50/655,268,794 = 655,268,794/x
  3. Step 3: Cross multiply
    299,413,110.50x = 655,268,794 × 655,268,794
  4. Step 4: Simplify right side
    299,413,110.50x = 429,377,192,390,214,464
  5. Step 5: Solve for x
    x = 429,377,192,390,214,464/299,413,110.50
  6. Step 6: Final answer
    x = 1,434,062,762.56

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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.