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Finding the Third Proportional to 300,911,636 and 415,791,524

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Solution

The third proportional to 300,911,636 and 415,791,524 is: 574,529,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,911,636 : 415,791,524 = 415,791,524 : x
  2. Step 2: Convert to fraction form
    300,911,636/415,791,524 = 415,791,524/x
  3. Step 3: Cross multiply
    300,911,636x = 415,791,524 × 415,791,524
  4. Step 4: Simplify right side
    300,911,636x = 172,882,591,430,242,560
  5. Step 5: Solve for x
    x = 172,882,591,430,242,560/300,911,636
  6. Step 6: Final answer
    x = 574,529,432.39

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Why These Related Problems?

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