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Finding the Third Proportional to 351,481.50 and 727,886

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Solution

The third proportional to 351,481.50 and 727,886 is: 1,507,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,481.50 : 727,886 = 727,886 : x
  2. Step 2: Convert to fraction form
    351,481.50/727,886 = 727,886/x
  3. Step 3: Cross multiply
    351,481.50x = 727,886 × 727,886
  4. Step 4: Simplify right side
    351,481.50x = 529,818,028,996
  5. Step 5: Solve for x
    x = 529,818,028,996/351,481.50
  6. Step 6: Final answer
    x = 1,507,385.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.