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Finding the Third Proportional to 486,382.50 and 727,629.75

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Solution

The third proportional to 486,382.50 and 727,629.75 is: 1,088,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,382.50 : 727,629.75 = 727,629.75 : x
  2. Step 2: Convert to fraction form
    486,382.50/727,629.75 = 727,629.75/x
  3. Step 3: Cross multiply
    486,382.50x = 727,629.75 × 727,629.75
  4. Step 4: Simplify right side
    486,382.50x = 529,445,053,085.06
  5. Step 5: Solve for x
    x = 529,445,053,085.06/486,382.50
  6. Step 6: Final answer
    x = 1,088,536.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.