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Finding the Third Proportional to 335,149 and 722,783

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Solution

The third proportional to 335,149 and 722,783 is: 1,558,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,149 : 722,783 = 722,783 : x
  2. Step 2: Convert to fraction form
    335,149/722,783 = 722,783/x
  3. Step 3: Cross multiply
    335,149x = 722,783 × 722,783
  4. Step 4: Simplify right side
    335,149x = 522,415,265,089
  5. Step 5: Solve for x
    x = 522,415,265,089/335,149
  6. Step 6: Final answer
    x = 1,558,755.26

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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.