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Finding the Third Proportional to 332,589 and 753,967.50

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Solution

The third proportional to 332,589 and 753,967.50 is: 1,709,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,589 : 753,967.50 = 753,967.50 : x
  2. Step 2: Convert to fraction form
    332,589/753,967.50 = 753,967.50/x
  3. Step 3: Cross multiply
    332,589x = 753,967.50 × 753,967.50
  4. Step 4: Simplify right side
    332,589x = 568,466,991,056.25
  5. Step 5: Solve for x
    x = 568,466,991,056.25/332,589
  6. Step 6: Final answer
    x = 1,709,217.66

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.