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Finding the Third Proportional to 489,665.25 and 748,571.63

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Solution

The third proportional to 489,665.25 and 748,571.63 is: 1,144,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,665.25 : 748,571.63 = 748,571.63 : x
  2. Step 2: Convert to fraction form
    489,665.25/748,571.63 = 748,571.63/x
  3. Step 3: Cross multiply
    489,665.25x = 748,571.63 × 748,571.63
  4. Step 4: Simplify right side
    489,665.25x = 560,359,477,755.14
  5. Step 5: Solve for x
    x = 560,359,477,755.14/489,665.25
  6. Step 6: Final answer
    x = 1,144,372.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.