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Finding the Third Proportional to 335,062 and 722,610

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Solution

The third proportional to 335,062 and 722,610 is: 1,558,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,062 : 722,610 = 722,610 : x
  2. Step 2: Convert to fraction form
    335,062/722,610 = 722,610/x
  3. Step 3: Cross multiply
    335,062x = 722,610 × 722,610
  4. Step 4: Simplify right side
    335,062x = 522,165,212,100
  5. Step 5: Solve for x
    x = 522,165,212,100/335,062
  6. Step 6: Final answer
    x = 1,558,413.70

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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.