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Finding the Third Proportional to 277,584 and 597,269

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Solution

The third proportional to 277,584 and 597,269 is: 1,285,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,584 : 597,269 = 597,269 : x
  2. Step 2: Convert to fraction form
    277,584/597,269 = 597,269/x
  3. Step 3: Cross multiply
    277,584x = 597,269 × 597,269
  4. Step 4: Simplify right side
    277,584x = 356,730,258,361
  5. Step 5: Solve for x
    x = 356,730,258,361/277,584
  6. Step 6: Final answer
    x = 1,285,125.43

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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.