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Finding the Third Proportional to 607,927.50 and 941,413.50

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Solution

The third proportional to 607,927.50 and 941,413.50 is: 1,457,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,927.50 : 941,413.50 = 941,413.50 : x
  2. Step 2: Convert to fraction form
    607,927.50/941,413.50 = 941,413.50/x
  3. Step 3: Cross multiply
    607,927.50x = 941,413.50 × 941,413.50
  4. Step 4: Simplify right side
    607,927.50x = 886,259,377,982.25
  5. Step 5: Solve for x
    x = 886,259,377,982.25/607,927.50
  6. Step 6: Final answer
    x = 1,457,837.29

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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.