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Finding the Third Proportional to 473,670 and 667,099

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Solution

The third proportional to 473,670 and 667,099 is: 939,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,670 : 667,099 = 667,099 : x
  2. Step 2: Convert to fraction form
    473,670/667,099 = 667,099/x
  3. Step 3: Cross multiply
    473,670x = 667,099 × 667,099
  4. Step 4: Simplify right side
    473,670x = 445,021,075,801
  5. Step 5: Solve for x
    x = 445,021,075,801/473,670
  6. Step 6: Final answer
    x = 939,517.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.