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Finding the Third Proportional to 279,609,762 and 419,414,683.50

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Solution

The third proportional to 279,609,762 and 419,414,683.50 is: 629,122,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,609,762 : 419,414,683.50 = 419,414,683.50 : x
  2. Step 2: Convert to fraction form
    279,609,762/419,414,683.50 = 419,414,683.50/x
  3. Step 3: Cross multiply
    279,609,762x = 419,414,683.50 × 419,414,683.50
  4. Step 4: Simplify right side
    279,609,762x = 175,908,676,735,405,184
  5. Step 5: Solve for x
    x = 175,908,676,735,405,184/279,609,762
  6. Step 6: Final answer
    x = 629,122,086.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.