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Finding the Third Proportional to 313,105 and 676,223

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Solution

The third proportional to 313,105 and 676,223 is: 1,460,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,105 : 676,223 = 676,223 : x
  2. Step 2: Convert to fraction form
    313,105/676,223 = 676,223/x
  3. Step 3: Cross multiply
    313,105x = 676,223 × 676,223
  4. Step 4: Simplify right side
    313,105x = 457,277,545,729
  5. Step 5: Solve for x
    x = 457,277,545,729/313,105
  6. Step 6: Final answer
    x = 1,460,460.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.