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Finding the Third Proportional to 277,532 and 654,934

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Solution

The third proportional to 277,532 and 654,934 is: 1,545,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,532 : 654,934 = 654,934 : x
  2. Step 2: Convert to fraction form
    277,532/654,934 = 654,934/x
  3. Step 3: Cross multiply
    277,532x = 654,934 × 654,934
  4. Step 4: Simplify right side
    277,532x = 428,938,544,356
  5. Step 5: Solve for x
    x = 428,938,544,356/277,532
  6. Step 6: Final answer
    x = 1,545,546.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.