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Finding the Third Proportional to 290,191.50 and 443,625.75

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Solution

The third proportional to 290,191.50 and 443,625.75 is: 678,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,191.50 : 443,625.75 = 443,625.75 : x
  2. Step 2: Convert to fraction form
    290,191.50/443,625.75 = 443,625.75/x
  3. Step 3: Cross multiply
    290,191.50x = 443,625.75 × 443,625.75
  4. Step 4: Simplify right side
    290,191.50x = 196,803,806,063.06
  5. Step 5: Solve for x
    x = 196,803,806,063.06/290,191.50
  6. Step 6: Final answer
    x = 678,185.98

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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.