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Finding the Third Proportional to 514,278,740 and 776,055,198

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Solution

The third proportional to 514,278,740 and 776,055,198 is: 1,171,080,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,278,740 : 776,055,198 = 776,055,198 : x
  2. Step 2: Convert to fraction form
    514,278,740/776,055,198 = 776,055,198/x
  3. Step 3: Cross multiply
    514,278,740x = 776,055,198 × 776,055,198
  4. Step 4: Simplify right side
    514,278,740x = 602,261,670,342,819,200
  5. Step 5: Solve for x
    x = 602,261,670,342,819,200/514,278,740
  6. Step 6: Final answer
    x = 1,171,080,240.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.