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Finding the Third Proportional to 263,413.90 and 376,411.75

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Solution

The third proportional to 263,413.90 and 376,411.75 is: 537,882.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,413.90 : 376,411.75 = 376,411.75 : x
  2. Step 2: Convert to fraction form
    263,413.90/376,411.75 = 376,411.75/x
  3. Step 3: Cross multiply
    263,413.90x = 376,411.75 × 376,411.75
  4. Step 4: Simplify right side
    263,413.90x = 141,685,802,597.35
  5. Step 5: Solve for x
    x = 141,685,802,597.35/263,413.90
  6. Step 6: Final answer
    x = 537,882.79

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.