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Finding the Third Proportional to 373,633.50 and 594,814.50

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Solution

The third proportional to 373,633.50 and 594,814.50 is: 946,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,633.50 : 594,814.50 = 594,814.50 : x
  2. Step 2: Convert to fraction form
    373,633.50/594,814.50 = 594,814.50/x
  3. Step 3: Cross multiply
    373,633.50x = 594,814.50 × 594,814.50
  4. Step 4: Simplify right side
    373,633.50x = 353,804,289,410.25
  5. Step 5: Solve for x
    x = 353,804,289,410.25/373,633.50
  6. Step 6: Final answer
    x = 946,928.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.