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Finding the Third Proportional to 505,444 and 760,218

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Solution

The third proportional to 505,444 and 760,218 is: 1,143,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,444 : 760,218 = 760,218 : x
  2. Step 2: Convert to fraction form
    505,444/760,218 = 760,218/x
  3. Step 3: Cross multiply
    505,444x = 760,218 × 760,218
  4. Step 4: Simplify right side
    505,444x = 577,931,407,524
  5. Step 5: Solve for x
    x = 577,931,407,524/505,444
  6. Step 6: Final answer
    x = 1,143,413.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.