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Finding the Third Proportional to 277,568.44 and 598,350.38

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Solution

The third proportional to 277,568.44 and 598,350.38 is: 1,289,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,568.44 : 598,350.38 = 598,350.38 : x
  2. Step 2: Convert to fraction form
    277,568.44/598,350.38 = 598,350.38/x
  3. Step 3: Cross multiply
    277,568.44x = 598,350.38 × 598,350.38
  4. Step 4: Simplify right side
    277,568.44x = 358,023,171,262.64
  5. Step 5: Solve for x
    x = 358,023,171,262.64/277,568.44
  6. Step 6: Final answer
    x = 1,289,855.48

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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.