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Finding the Third Proportional to 277,891 and 430,566

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Solution

The third proportional to 277,891 and 430,566 is: 667,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,891 : 430,566 = 430,566 : x
  2. Step 2: Convert to fraction form
    277,891/430,566 = 430,566/x
  3. Step 3: Cross multiply
    277,891x = 430,566 × 430,566
  4. Step 4: Simplify right side
    277,891x = 185,387,080,356
  5. Step 5: Solve for x
    x = 185,387,080,356/277,891
  6. Step 6: Final answer
    x = 667,121.57

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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.