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Finding the Third Proportional to 376,152,886 and 580,999,138

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Solution

The third proportional to 376,152,886 and 580,999,138 is: 897,401,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,152,886 : 580,999,138 = 580,999,138 : x
  2. Step 2: Convert to fraction form
    376,152,886/580,999,138 = 580,999,138/x
  3. Step 3: Cross multiply
    376,152,886x = 580,999,138 × 580,999,138
  4. Step 4: Simplify right side
    376,152,886x = 337,559,998,356,743,040
  5. Step 5: Solve for x
    x = 337,559,998,356,743,040/376,152,886
  6. Step 6: Final answer
    x = 897,401,059.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.