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Finding the Third Proportional to 456,464 and 667,794

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Solution

The third proportional to 456,464 and 667,794 is: 976,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,464 : 667,794 = 667,794 : x
  2. Step 2: Convert to fraction form
    456,464/667,794 = 667,794/x
  3. Step 3: Cross multiply
    456,464x = 667,794 × 667,794
  4. Step 4: Simplify right side
    456,464x = 445,948,826,436
  5. Step 5: Solve for x
    x = 445,948,826,436/456,464
  6. Step 6: Final answer
    x = 976,963.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.