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Finding the Third Proportional to 300,911,625 and 415,791,507

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Solution

The third proportional to 300,911,625 and 415,791,507 is: 574,529,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,911,625 : 415,791,507 = 415,791,507 : x
  2. Step 2: Convert to fraction form
    300,911,625/415,791,507 = 415,791,507/x
  3. Step 3: Cross multiply
    300,911,625x = 415,791,507 × 415,791,507
  4. Step 4: Simplify right side
    300,911,625x = 172,882,577,293,331,040
  5. Step 5: Solve for x
    x = 172,882,577,293,331,040/300,911,625
  6. Step 6: Final answer
    x = 574,529,406.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.