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Finding the Third Proportional to 526,413.94 and 797,050.13

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Solution

The third proportional to 526,413.94 and 797,050.13 is: 1,206,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,413.94 : 797,050.13 = 797,050.13 : x
  2. Step 2: Convert to fraction form
    526,413.94/797,050.13 = 797,050.13/x
  3. Step 3: Cross multiply
    526,413.94x = 797,050.13 × 797,050.13
  4. Step 4: Simplify right side
    526,413.94x = 635,288,901,762.52
  5. Step 5: Solve for x
    x = 635,288,901,762.52/526,413.94
  6. Step 6: Final answer
    x = 1,206,823.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.