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Finding the Third Proportional to 357,863,775 and 782,715,198

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Solution

The third proportional to 357,863,775 and 782,715,198 is: 1,711,944,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,863,775 : 782,715,198 = 782,715,198 : x
  2. Step 2: Convert to fraction form
    357,863,775/782,715,198 = 782,715,198/x
  3. Step 3: Cross multiply
    357,863,775x = 782,715,198 × 782,715,198
  4. Step 4: Simplify right side
    357,863,775x = 612,643,081,180,179,200
  5. Step 5: Solve for x
    x = 612,643,081,180,179,200/357,863,775
  6. Step 6: Final answer
    x = 1,711,944,946.59

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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.