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Finding the Third Proportional to 195,521 and 428,413.50

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Solution

The third proportional to 195,521 and 428,413.50 is: 938,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,521 : 428,413.50 = 428,413.50 : x
  2. Step 2: Convert to fraction form
    195,521/428,413.50 = 428,413.50/x
  3. Step 3: Cross multiply
    195,521x = 428,413.50 × 428,413.50
  4. Step 4: Simplify right side
    195,521x = 183,538,126,982.25
  5. Step 5: Solve for x
    x = 183,538,126,982.25/195,521
  6. Step 6: Final answer
    x = 938,713.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.