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Finding the Third Proportional to 313,464 and 666,864

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Solution

The third proportional to 313,464 and 666,864 is: 1,418,687.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,464 : 666,864 = 666,864 : x
  2. Step 2: Convert to fraction form
    313,464/666,864 = 666,864/x
  3. Step 3: Cross multiply
    313,464x = 666,864 × 666,864
  4. Step 4: Simplify right side
    313,464x = 444,707,594,496
  5. Step 5: Solve for x
    x = 444,707,594,496/313,464
  6. Step 6: Final answer
    x = 1,418,687.93

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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.