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Finding the Third Proportional to 272,180 and 597,496

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Solution

The third proportional to 272,180 and 597,496 is: 1,311,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,180 : 597,496 = 597,496 : x
  2. Step 2: Convert to fraction form
    272,180/597,496 = 597,496/x
  3. Step 3: Cross multiply
    272,180x = 597,496 × 597,496
  4. Step 4: Simplify right side
    272,180x = 357,001,470,016
  5. Step 5: Solve for x
    x = 357,001,470,016/272,180
  6. Step 6: Final answer
    x = 1,311,637.41

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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.