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Finding the Third Proportional to 289,755.50 and 443,244.50

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Solution

The third proportional to 289,755.50 and 443,244.50 is: 678,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,755.50 : 443,244.50 = 443,244.50 : x
  2. Step 2: Convert to fraction form
    289,755.50/443,244.50 = 443,244.50/x
  3. Step 3: Cross multiply
    289,755.50x = 443,244.50 × 443,244.50
  4. Step 4: Simplify right side
    289,755.50x = 196,465,686,780.25
  5. Step 5: Solve for x
    x = 196,465,686,780.25/289,755.50
  6. Step 6: Final answer
    x = 678,039.54

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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.