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Finding the Third Proportional to 260,673.75 and 382,551.75

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Solution

The third proportional to 260,673.75 and 382,551.75 is: 561,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,673.75 : 382,551.75 = 382,551.75 : x
  2. Step 2: Convert to fraction form
    260,673.75/382,551.75 = 382,551.75/x
  3. Step 3: Cross multiply
    260,673.75x = 382,551.75 × 382,551.75
  4. Step 4: Simplify right side
    260,673.75x = 146,345,841,428.06
  5. Step 5: Solve for x
    x = 146,345,841,428.06/260,673.75
  6. Step 6: Final answer
    x = 561,413.80

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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.