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Finding the Third Proportional to 339,149,262 and 734,641,188

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Solution

The third proportional to 339,149,262 and 734,641,188 is: 1,591,327,877.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,149,262 : 734,641,188 = 734,641,188 : x
  2. Step 2: Convert to fraction form
    339,149,262/734,641,188 = 734,641,188/x
  3. Step 3: Cross multiply
    339,149,262x = 734,641,188 × 734,641,188
  4. Step 4: Simplify right side
    339,149,262x = 539,697,675,106,051,328
  5. Step 5: Solve for x
    x = 539,697,675,106,051,328/339,149,262
  6. Step 6: Final answer
    x = 1,591,327,877.06

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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.