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Finding the Third Proportional to 454,553.44 and 677,887.31

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Solution

The third proportional to 454,553.44 and 677,887.31 is: 1,010,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,553.44 : 677,887.31 = 677,887.31 : x
  2. Step 2: Convert to fraction form
    454,553.44/677,887.31 = 677,887.31/x
  3. Step 3: Cross multiply
    454,553.44x = 677,887.31 × 677,887.31
  4. Step 4: Simplify right side
    454,553.44x = 459,531,208,448.47
  5. Step 5: Solve for x
    x = 459,531,208,448.47/454,553.44
  6. Step 6: Final answer
    x = 1,010,950.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.