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Finding the Third Proportional to 444,862.13 and 689,413.50

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Solution

The third proportional to 444,862.13 and 689,413.50 is: 1,068,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,862.13 : 689,413.50 = 689,413.50 : x
  2. Step 2: Convert to fraction form
    444,862.13/689,413.50 = 689,413.50/x
  3. Step 3: Cross multiply
    444,862.13x = 689,413.50 × 689,413.50
  4. Step 4: Simplify right side
    444,862.13x = 475,290,973,982.25
  5. Step 5: Solve for x
    x = 475,290,973,982.25/444,862.13
  6. Step 6: Final answer
    x = 1,068,400.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.