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Finding the Third Proportional to 354,640.50 and 532,320.75

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Solution

The third proportional to 354,640.50 and 532,320.75 is: 799,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,640.50 : 532,320.75 = 532,320.75 : x
  2. Step 2: Convert to fraction form
    354,640.50/532,320.75 = 532,320.75/x
  3. Step 3: Cross multiply
    354,640.50x = 532,320.75 × 532,320.75
  4. Step 4: Simplify right side
    354,640.50x = 283,365,380,880.56
  5. Step 5: Solve for x
    x = 283,365,380,880.56/354,640.50
  6. Step 6: Final answer
    x = 799,021.49

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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.