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Finding the Third Proportional to 300,542,255.72 and 459,751,720.92

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Solution

The third proportional to 300,542,255.72 and 459,751,720.92 is: 703,300,919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,542,255.72 : 459,751,720.92 = 459,751,720.92 : x
  2. Step 2: Convert to fraction form
    300,542,255.72/459,751,720.92 = 459,751,720.92/x
  3. Step 3: Cross multiply
    300,542,255.72x = 459,751,720.92 × 459,751,720.92
  4. Step 4: Simplify right side
    300,542,255.72x = 211,371,644,890,630,240
  5. Step 5: Solve for x
    x = 211,371,644,890,630,240/300,542,255.72
  6. Step 6: Final answer
    x = 703,300,919.82

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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.