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Finding the Third Proportional to 277,526 and 597,180

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Solution

The third proportional to 277,526 and 597,180 is: 1,285,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,526 : 597,180 = 597,180 : x
  2. Step 2: Convert to fraction form
    277,526/597,180 = 597,180/x
  3. Step 3: Cross multiply
    277,526x = 597,180 × 597,180
  4. Step 4: Simplify right side
    277,526x = 356,623,952,400
  5. Step 5: Solve for x
    x = 356,623,952,400/277,526
  6. Step 6: Final answer
    x = 1,285,010.96

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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.