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Finding the Third Proportional to 315,182 and 674,648

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Solution

The third proportional to 315,182 and 674,648 is: 1,444,086.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,182 : 674,648 = 674,648 : x
  2. Step 2: Convert to fraction form
    315,182/674,648 = 674,648/x
  3. Step 3: Cross multiply
    315,182x = 674,648 × 674,648
  4. Step 4: Simplify right side
    315,182x = 455,149,923,904
  5. Step 5: Solve for x
    x = 455,149,923,904/315,182
  6. Step 6: Final answer
    x = 1,444,086.03

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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.