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Finding the Third Proportional to 333,391.50 and 440,212.50

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Solution

The third proportional to 333,391.50 and 440,212.50 is: 581,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,391.50 : 440,212.50 = 440,212.50 : x
  2. Step 2: Convert to fraction form
    333,391.50/440,212.50 = 440,212.50/x
  3. Step 3: Cross multiply
    333,391.50x = 440,212.50 × 440,212.50
  4. Step 4: Simplify right side
    333,391.50x = 193,787,045,156.25
  5. Step 5: Solve for x
    x = 193,787,045,156.25/333,391.50
  6. Step 6: Final answer
    x = 581,259.71

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.