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Finding the Third Proportional to 277,452 and 596,988

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Solution

The third proportional to 277,452 and 596,988 is: 1,284,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,452 : 596,988 = 596,988 : x
  2. Step 2: Convert to fraction form
    277,452/596,988 = 596,988/x
  3. Step 3: Cross multiply
    277,452x = 596,988 × 596,988
  4. Step 4: Simplify right side
    277,452x = 356,394,672,144
  5. Step 5: Solve for x
    x = 356,394,672,144/277,452
  6. Step 6: Final answer
    x = 1,284,527.31

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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.