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Finding the Third Proportional to 300,002.63 and 449,070.75

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Solution

The third proportional to 300,002.63 and 449,070.75 is: 672,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,002.63 : 449,070.75 = 449,070.75 : x
  2. Step 2: Convert to fraction form
    300,002.63/449,070.75 = 449,070.75/x
  3. Step 3: Cross multiply
    300,002.63x = 449,070.75 × 449,070.75
  4. Step 4: Simplify right side
    300,002.63x = 201,664,538,505.56
  5. Step 5: Solve for x
    x = 201,664,538,505.56/300,002.63
  6. Step 6: Final answer
    x = 672,209.25

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Why These Related Problems?

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