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Finding the Third Proportional to 290,413.13 and 427,071.38

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Solution

The third proportional to 290,413.13 and 427,071.38 is: 628,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,413.13 : 427,071.38 = 427,071.38 : x
  2. Step 2: Convert to fraction form
    290,413.13/427,071.38 = 427,071.38/x
  3. Step 3: Cross multiply
    290,413.13x = 427,071.38 × 427,071.38
  4. Step 4: Simplify right side
    290,413.13x = 182,389,959,344.39
  5. Step 5: Solve for x
    x = 182,389,959,344.39/290,413.13
  6. Step 6: Final answer
    x = 628,036.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.