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Finding the Third Proportional to 351,984 and 504,400.50

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Solution

The third proportional to 351,984 and 504,400.50 is: 722,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,984 : 504,400.50 = 504,400.50 : x
  2. Step 2: Convert to fraction form
    351,984/504,400.50 = 504,400.50/x
  3. Step 3: Cross multiply
    351,984x = 504,400.50 × 504,400.50
  4. Step 4: Simplify right side
    351,984x = 254,419,864,400.25
  5. Step 5: Solve for x
    x = 254,419,864,400.25/351,984
  6. Step 6: Final answer
    x = 722,816.56

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.