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Finding the Third Proportional to 455,591.25 and 679,698

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Solution

The third proportional to 455,591.25 and 679,698 is: 1,014,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,591.25 : 679,698 = 679,698 : x
  2. Step 2: Convert to fraction form
    455,591.25/679,698 = 679,698/x
  3. Step 3: Cross multiply
    455,591.25x = 679,698 × 679,698
  4. Step 4: Simplify right side
    455,591.25x = 461,989,371,204
  5. Step 5: Solve for x
    x = 461,989,371,204/455,591.25
  6. Step 6: Final answer
    x = 1,014,043.56

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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.