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Finding the Third Proportional to 289,306.69 and 433,679.06

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Solution

The third proportional to 289,306.69 and 433,679.06 is: 650,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,306.69 : 433,679.06 = 433,679.06 : x
  2. Step 2: Convert to fraction form
    289,306.69/433,679.06 = 433,679.06/x
  3. Step 3: Cross multiply
    289,306.69x = 433,679.06 × 433,679.06
  4. Step 4: Simplify right side
    289,306.69x = 188,077,529,250.88
  5. Step 5: Solve for x
    x = 188,077,529,250.88/289,306.69
  6. Step 6: Final answer
    x = 650,097.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.