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Finding the Third Proportional to 335,170 and 722,828

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Solution

The third proportional to 335,170 and 722,828 is: 1,558,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,170 : 722,828 = 722,828 : x
  2. Step 2: Convert to fraction form
    335,170/722,828 = 722,828/x
  3. Step 3: Cross multiply
    335,170x = 722,828 × 722,828
  4. Step 4: Simplify right side
    335,170x = 522,480,317,584
  5. Step 5: Solve for x
    x = 522,480,317,584/335,170
  6. Step 6: Final answer
    x = 1,558,851.68

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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.