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Finding the Third Proportional to 277,216 and 587,504

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Solution

The third proportional to 277,216 and 587,504 is: 1,245,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,216 : 587,504 = 587,504 : x
  2. Step 2: Convert to fraction form
    277,216/587,504 = 587,504/x
  3. Step 3: Cross multiply
    277,216x = 587,504 × 587,504
  4. Step 4: Simplify right side
    277,216x = 345,160,950,016
  5. Step 5: Solve for x
    x = 345,160,950,016/277,216
  6. Step 6: Final answer
    x = 1,245,097.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.