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Finding the Third Proportional to 313,055 and 676,134

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Solution

The third proportional to 313,055 and 676,134 is: 1,460,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,055 : 676,134 = 676,134 : x
  2. Step 2: Convert to fraction form
    313,055/676,134 = 676,134/x
  3. Step 3: Cross multiply
    313,055x = 676,134 × 676,134
  4. Step 4: Simplify right side
    313,055x = 457,157,185,956
  5. Step 5: Solve for x
    x = 457,157,185,956/313,055
  6. Step 6: Final answer
    x = 1,460,309.49

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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.