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Finding the Third Proportional to 314,602 and 673,694

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Solution

The third proportional to 314,602 and 673,694 is: 1,442,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,602 : 673,694 = 673,694 : x
  2. Step 2: Convert to fraction form
    314,602/673,694 = 673,694/x
  3. Step 3: Cross multiply
    314,602x = 673,694 × 673,694
  4. Step 4: Simplify right side
    314,602x = 453,863,605,636
  5. Step 5: Solve for x
    x = 453,863,605,636/314,602
  6. Step 6: Final answer
    x = 1,442,659.63

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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.