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Finding the Third Proportional to 289,770.75 and 443,265.75

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Solution

The third proportional to 289,770.75 and 443,265.75 is: 678,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,770.75 : 443,265.75 = 443,265.75 : x
  2. Step 2: Convert to fraction form
    289,770.75/443,265.75 = 443,265.75/x
  3. Step 3: Cross multiply
    289,770.75x = 443,265.75 × 443,265.75
  4. Step 4: Simplify right side
    289,770.75x = 196,484,525,123.06
  5. Step 5: Solve for x
    x = 196,484,525,123.06/289,770.75
  6. Step 6: Final answer
    x = 678,068.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.