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Finding the Third Proportional to 277,137 and 595,712.25

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Solution

The third proportional to 277,137 and 595,712.25 is: 1,280,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,137 : 595,712.25 = 595,712.25 : x
  2. Step 2: Convert to fraction form
    277,137/595,712.25 = 595,712.25/x
  3. Step 3: Cross multiply
    277,137x = 595,712.25 × 595,712.25
  4. Step 4: Simplify right side
    277,137x = 354,873,084,800.06
  5. Step 5: Solve for x
    x = 354,873,084,800.06/277,137
  6. Step 6: Final answer
    x = 1,280,496.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.