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Finding the Third Proportional to 322,005.75 and 437,310.19

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Solution

The third proportional to 322,005.75 and 437,310.19 is: 593,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,005.75 : 437,310.19 = 437,310.19 : x
  2. Step 2: Convert to fraction form
    322,005.75/437,310.19 = 437,310.19/x
  3. Step 3: Cross multiply
    322,005.75x = 437,310.19 × 437,310.19
  4. Step 4: Simplify right side
    322,005.75x = 191,240,200,091.29
  5. Step 5: Solve for x
    x = 191,240,200,091.29/322,005.75
  6. Step 6: Final answer
    x = 593,903.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.