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Finding the Third Proportional to 351,945 and 504,346.50

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Solution

The third proportional to 351,945 and 504,346.50 is: 722,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,945 : 504,346.50 = 504,346.50 : x
  2. Step 2: Convert to fraction form
    351,945/504,346.50 = 504,346.50/x
  3. Step 3: Cross multiply
    351,945x = 504,346.50 × 504,346.50
  4. Step 4: Simplify right side
    351,945x = 254,365,392,062.25
  5. Step 5: Solve for x
    x = 254,365,392,062.25/351,945
  6. Step 6: Final answer
    x = 722,741.88

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Why These Related Problems?

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