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Finding the Third Proportional to 488,991.94 and 748,012.22

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Solution

The third proportional to 488,991.94 and 748,012.22 is: 1,144,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,991.94 : 748,012.22 = 748,012.22 : x
  2. Step 2: Convert to fraction form
    488,991.94/748,012.22 = 748,012.22/x
  3. Step 3: Cross multiply
    488,991.94x = 748,012.22 × 748,012.22
  4. Step 4: Simplify right side
    488,991.94x = 559,522,279,399.30
  5. Step 5: Solve for x
    x = 559,522,279,399.30/488,991.94
  6. Step 6: Final answer
    x = 1,144,236.21

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Why These Related Problems?

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