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Finding the Third Proportional to 313,466 and 666,868

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Solution

The third proportional to 313,466 and 666,868 is: 1,418,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,466 : 666,868 = 666,868 : x
  2. Step 2: Convert to fraction form
    313,466/666,868 = 666,868/x
  3. Step 3: Cross multiply
    313,466x = 666,868 × 666,868
  4. Step 4: Simplify right side
    313,466x = 444,712,929,424
  5. Step 5: Solve for x
    x = 444,712,929,424/313,466
  6. Step 6: Final answer
    x = 1,418,695.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.