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Finding the Third Proportional to 455,400 and 679,401

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Solution

The third proportional to 455,400 and 679,401 is: 1,013,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,400 : 679,401 = 679,401 : x
  2. Step 2: Convert to fraction form
    455,400/679,401 = 679,401/x
  3. Step 3: Cross multiply
    455,400x = 679,401 × 679,401
  4. Step 4: Simplify right side
    455,400x = 461,585,718,801
  5. Step 5: Solve for x
    x = 461,585,718,801/455,400
  6. Step 6: Final answer
    x = 1,013,583.05

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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.