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Finding the Third Proportional to 205,531.59 and 448,413.47

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Solution

The third proportional to 205,531.59 and 448,413.47 is: 978,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,531.59 : 448,413.47 = 448,413.47 : x
  2. Step 2: Convert to fraction form
    205,531.59/448,413.47 = 448,413.47/x
  3. Step 3: Cross multiply
    205,531.59x = 448,413.47 × 448,413.47
  4. Step 4: Simplify right side
    205,531.59x = 201,074,638,956.41
  5. Step 5: Solve for x
    x = 201,074,638,956.41/205,531.59
  6. Step 6: Final answer
    x = 978,314.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.