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Finding the Third Proportional to 277,105 and 595,650

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Solution

The third proportional to 277,105 and 595,650 is: 1,280,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,105 : 595,650 = 595,650 : x
  2. Step 2: Convert to fraction form
    277,105/595,650 = 595,650/x
  3. Step 3: Cross multiply
    277,105x = 595,650 × 595,650
  4. Step 4: Simplify right side
    277,105x = 354,798,922,500
  5. Step 5: Solve for x
    x = 354,798,922,500/277,105
  6. Step 6: Final answer
    x = 1,280,377.19

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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.