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Finding the Third Proportional to 328,600.50 and 496,453.50

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Solution

The third proportional to 328,600.50 and 496,453.50 is: 750,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,600.50 : 496,453.50 = 496,453.50 : x
  2. Step 2: Convert to fraction form
    328,600.50/496,453.50 = 496,453.50/x
  3. Step 3: Cross multiply
    328,600.50x = 496,453.50 × 496,453.50
  4. Step 4: Simplify right side
    328,600.50x = 246,466,077,662.25
  5. Step 5: Solve for x
    x = 246,466,077,662.25/328,600.50
  6. Step 6: Final answer
    x = 750,047.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.