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Finding the Third Proportional to 314,544 and 673,169.25

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Solution

The third proportional to 314,544 and 673,169.25 is: 1,440,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,544 : 673,169.25 = 673,169.25 : x
  2. Step 2: Convert to fraction form
    314,544/673,169.25 = 673,169.25/x
  3. Step 3: Cross multiply
    314,544x = 673,169.25 × 673,169.25
  4. Step 4: Simplify right side
    314,544x = 453,156,839,145.56
  5. Step 5: Solve for x
    x = 453,156,839,145.56/314,544
  6. Step 6: Final answer
    x = 1,440,678.69

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