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Finding the Third Proportional to 277,500 and 609,552

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Solution

The third proportional to 277,500 and 609,552 is: 1,338,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,500 : 609,552 = 609,552 : x
  2. Step 2: Convert to fraction form
    277,500/609,552 = 609,552/x
  3. Step 3: Cross multiply
    277,500x = 609,552 × 609,552
  4. Step 4: Simplify right side
    277,500x = 371,553,640,704
  5. Step 5: Solve for x
    x = 371,553,640,704/277,500
  6. Step 6: Final answer
    x = 1,338,932.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.