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Finding the Third Proportional to 488,982.75 and 748,003.50

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Solution

The third proportional to 488,982.75 and 748,003.50 is: 1,144,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,982.75 : 748,003.50 = 748,003.50 : x
  2. Step 2: Convert to fraction form
    488,982.75/748,003.50 = 748,003.50/x
  3. Step 3: Cross multiply
    488,982.75x = 748,003.50 × 748,003.50
  4. Step 4: Simplify right side
    488,982.75x = 559,509,236,012.25
  5. Step 5: Solve for x
    x = 559,509,236,012.25/488,982.75
  6. Step 6: Final answer
    x = 1,144,231.03

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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.