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Finding the Third Proportional to 376,152,924 and 580,999,194

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Solution

The third proportional to 376,152,924 and 580,999,194 is: 897,401,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,152,924 : 580,999,194 = 580,999,194 : x
  2. Step 2: Convert to fraction form
    376,152,924/580,999,194 = 580,999,194/x
  3. Step 3: Cross multiply
    376,152,924x = 580,999,194 × 580,999,194
  4. Step 4: Simplify right side
    376,152,924x = 337,560,063,428,649,664
  5. Step 5: Solve for x
    x = 337,560,063,428,649,664/376,152,924
  6. Step 6: Final answer
    x = 897,401,141.64

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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.