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Finding the Third Proportional to 277,877 and 430,544

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Solution

The third proportional to 277,877 and 430,544 is: 667,087.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,877 : 430,544 = 430,544 : x
  2. Step 2: Convert to fraction form
    277,877/430,544 = 430,544/x
  3. Step 3: Cross multiply
    277,877x = 430,544 × 430,544
  4. Step 4: Simplify right side
    277,877x = 185,368,135,936
  5. Step 5: Solve for x
    x = 185,368,135,936/277,877
  6. Step 6: Final answer
    x = 667,087.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.