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Finding the Third Proportional to 275,432 and 583,936

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Solution

The third proportional to 275,432 and 583,936 is: 1,237,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,432 : 583,936 = 583,936 : x
  2. Step 2: Convert to fraction form
    275,432/583,936 = 583,936/x
  3. Step 3: Cross multiply
    275,432x = 583,936 × 583,936
  4. Step 4: Simplify right side
    275,432x = 340,981,252,096
  5. Step 5: Solve for x
    x = 340,981,252,096/275,432
  6. Step 6: Final answer
    x = 1,237,987.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.