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Finding the Third Proportional to 277,484 and 598,162

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Solution

The third proportional to 277,484 and 598,162 is: 1,289,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,484 : 598,162 = 598,162 : x
  2. Step 2: Convert to fraction form
    277,484/598,162 = 598,162/x
  3. Step 3: Cross multiply
    277,484x = 598,162 × 598,162
  4. Step 4: Simplify right side
    277,484x = 357,797,778,244
  5. Step 5: Solve for x
    x = 357,797,778,244/277,484
  6. Step 6: Final answer
    x = 1,289,435.71

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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.