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Finding the Third Proportional to 314,682 and 673,860

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Solution

The third proportional to 314,682 and 673,860 is: 1,443,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,682 : 673,860 = 673,860 : x
  2. Step 2: Convert to fraction form
    314,682/673,860 = 673,860/x
  3. Step 3: Cross multiply
    314,682x = 673,860 × 673,860
  4. Step 4: Simplify right side
    314,682x = 454,087,299,600
  5. Step 5: Solve for x
    x = 454,087,299,600/314,682
  6. Step 6: Final answer
    x = 1,443,003.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.