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Finding the Third Proportional to 277,591 and 597,292

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Solution

The third proportional to 277,591 and 597,292 is: 1,285,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,591 : 597,292 = 597,292 : x
  2. Step 2: Convert to fraction form
    277,591/597,292 = 597,292/x
  3. Step 3: Cross multiply
    277,591x = 597,292 × 597,292
  4. Step 4: Simplify right side
    277,591x = 356,757,733,264
  5. Step 5: Solve for x
    x = 356,757,733,264/277,591
  6. Step 6: Final answer
    x = 1,285,192.00

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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.