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Finding the Third Proportional to 335,077 and 722,642

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Solution

The third proportional to 335,077 and 722,642 is: 1,558,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,077 : 722,642 = 722,642 : x
  2. Step 2: Convert to fraction form
    335,077/722,642 = 722,642/x
  3. Step 3: Cross multiply
    335,077x = 722,642 × 722,642
  4. Step 4: Simplify right side
    335,077x = 522,211,460,164
  5. Step 5: Solve for x
    x = 522,211,460,164/335,077
  6. Step 6: Final answer
    x = 1,558,481.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.