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Finding the Third Proportional to 272,019 and 382,383

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Solution

The third proportional to 272,019 and 382,383 is: 537,524.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,019 : 382,383 = 382,383 : x
  2. Step 2: Convert to fraction form
    272,019/382,383 = 382,383/x
  3. Step 3: Cross multiply
    272,019x = 382,383 × 382,383
  4. Step 4: Simplify right side
    272,019x = 146,216,758,689
  5. Step 5: Solve for x
    x = 146,216,758,689/272,019
  6. Step 6: Final answer
    x = 537,524.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.