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Finding the Third Proportional to 300,542,197.50 and 459,751,630.50

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Solution

The third proportional to 300,542,197.50 and 459,751,630.50 is: 703,300,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,542,197.50 : 459,751,630.50 = 459,751,630.50 : x
  2. Step 2: Convert to fraction form
    300,542,197.50/459,751,630.50 = 459,751,630.50/x
  3. Step 3: Cross multiply
    300,542,197.50x = 459,751,630.50 × 459,751,630.50
  4. Step 4: Simplify right side
    300,542,197.50x = 211,371,561,747,408,544
  5. Step 5: Solve for x
    x = 211,371,561,747,408,544/300,542,197.50
  6. Step 6: Final answer
    x = 703,300,779.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.