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Finding the Third Proportional to 277,692 and 406,164

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Solution

The third proportional to 277,692 and 406,164 is: 594,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,692 : 406,164 = 406,164 : x
  2. Step 2: Convert to fraction form
    277,692/406,164 = 406,164/x
  3. Step 3: Cross multiply
    277,692x = 406,164 × 406,164
  4. Step 4: Simplify right side
    277,692x = 164,969,194,896
  5. Step 5: Solve for x
    x = 164,969,194,896/277,692
  6. Step 6: Final answer
    x = 594,072.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.