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Finding the Third Proportional to 301,711.50 and 447,342.75

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Solution

The third proportional to 301,711.50 and 447,342.75 is: 663,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,711.50 : 447,342.75 = 447,342.75 : x
  2. Step 2: Convert to fraction form
    301,711.50/447,342.75 = 447,342.75/x
  3. Step 3: Cross multiply
    301,711.50x = 447,342.75 × 447,342.75
  4. Step 4: Simplify right side
    301,711.50x = 200,115,535,977.56
  5. Step 5: Solve for x
    x = 200,115,535,977.56/301,711.50
  6. Step 6: Final answer
    x = 663,267.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.