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Finding the Third Proportional to 272,667 and 416,382

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Solution

The third proportional to 272,667 and 416,382 is: 635,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,667 : 416,382 = 416,382 : x
  2. Step 2: Convert to fraction form
    272,667/416,382 = 416,382/x
  3. Step 3: Cross multiply
    272,667x = 416,382 × 416,382
  4. Step 4: Simplify right side
    272,667x = 173,373,969,924
  5. Step 5: Solve for x
    x = 173,373,969,924/272,667
  6. Step 6: Final answer
    x = 635,845.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.