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Finding the Third Proportional to 455,884.50 and 992,039.63

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Solution

The third proportional to 455,884.50 and 992,039.63 is: 2,158,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,884.50 : 992,039.63 = 992,039.63 : x
  2. Step 2: Convert to fraction form
    455,884.50/992,039.63 = 992,039.63/x
  3. Step 3: Cross multiply
    455,884.50x = 992,039.63 × 992,039.63
  4. Step 4: Simplify right side
    455,884.50x = 984,142,617,570.14
  5. Step 5: Solve for x
    x = 984,142,617,570.14/455,884.50
  6. Step 6: Final answer
    x = 2,158,754.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.