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Finding the Third Proportional to 277,671 and 598,530

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Solution

The third proportional to 277,671 and 598,530 is: 1,290,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,671 : 598,530 = 598,530 : x
  2. Step 2: Convert to fraction form
    277,671/598,530 = 598,530/x
  3. Step 3: Cross multiply
    277,671x = 598,530 × 598,530
  4. Step 4: Simplify right side
    277,671x = 358,238,160,900
  5. Step 5: Solve for x
    x = 358,238,160,900/277,671
  6. Step 6: Final answer
    x = 1,290,153.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.