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Finding the Third Proportional to 264,800.81 and 543,552.19

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Solution

The third proportional to 264,800.81 and 543,552.19 is: 1,115,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,800.81 : 543,552.19 = 543,552.19 : x
  2. Step 2: Convert to fraction form
    264,800.81/543,552.19 = 543,552.19/x
  3. Step 3: Cross multiply
    264,800.81x = 543,552.19 × 543,552.19
  4. Step 4: Simplify right side
    264,800.81x = 295,448,980,536.04
  5. Step 5: Solve for x
    x = 295,448,980,536.04/264,800.81
  6. Step 6: Final answer
    x = 1,115,740.46

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.