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Finding the Third Proportional to 299,405,331 and 655,253,083.50

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Solution

The third proportional to 299,405,331 and 655,253,083.50 is: 1,434,031,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,405,331 : 655,253,083.50 = 655,253,083.50 : x
  2. Step 2: Convert to fraction form
    299,405,331/655,253,083.50 = 655,253,083.50/x
  3. Step 3: Cross multiply
    299,405,331x = 655,253,083.50 × 655,253,083.50
  4. Step 4: Simplify right side
    299,405,331x = 429,356,603,436,257,984
  5. Step 5: Solve for x
    x = 429,356,603,436,257,984/299,405,331
  6. Step 6: Final answer
    x = 1,434,031,257.90

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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.