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Finding the Third Proportional to 289,764 and 443,256.75

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Solution

The third proportional to 289,764 and 443,256.75 is: 678,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,764 : 443,256.75 = 443,256.75 : x
  2. Step 2: Convert to fraction form
    289,764/443,256.75 = 443,256.75/x
  3. Step 3: Cross multiply
    289,764x = 443,256.75 × 443,256.75
  4. Step 4: Simplify right side
    289,764x = 196,476,546,420.56
  5. Step 5: Solve for x
    x = 196,476,546,420.56/289,764
  6. Step 6: Final answer
    x = 678,057.13

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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.