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Finding the Third Proportional to 511,413.75 and 782,686.13

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Solution

The third proportional to 511,413.75 and 782,686.13 is: 1,197,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,413.75 : 782,686.13 = 782,686.13 : x
  2. Step 2: Convert to fraction form
    511,413.75/782,686.13 = 782,686.13/x
  3. Step 3: Cross multiply
    511,413.75x = 782,686.13 × 782,686.13
  4. Step 4: Simplify right side
    511,413.75x = 612,597,570,267.52
  5. Step 5: Solve for x
    x = 612,597,570,267.52/511,413.75
  6. Step 6: Final answer
    x = 1,197,851.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.