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Finding the Third Proportional to 277,017 and 596,775

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Solution

The third proportional to 277,017 and 596,775 is: 1,285,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,017 : 596,775 = 596,775 : x
  2. Step 2: Convert to fraction form
    277,017/596,775 = 596,775/x
  3. Step 3: Cross multiply
    277,017x = 596,775 × 596,775
  4. Step 4: Simplify right side
    277,017x = 356,140,400,625
  5. Step 5: Solve for x
    x = 356,140,400,625/277,017
  6. Step 6: Final answer
    x = 1,285,626.52

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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.