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Finding the Third Proportional to 277,488 and 598,172

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Solution

The third proportional to 277,488 and 598,172 is: 1,289,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,488 : 598,172 = 598,172 : x
  2. Step 2: Convert to fraction form
    277,488/598,172 = 598,172/x
  3. Step 3: Cross multiply
    277,488x = 598,172 × 598,172
  4. Step 4: Simplify right side
    277,488x = 357,809,741,584
  5. Step 5: Solve for x
    x = 357,809,741,584/277,488
  6. Step 6: Final answer
    x = 1,289,460.23

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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.