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Finding the Third Proportional to 272,538 and 586,512

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Solution

The third proportional to 272,538 and 586,512 is: 1,262,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,538 : 586,512 = 586,512 : x
  2. Step 2: Convert to fraction form
    272,538/586,512 = 586,512/x
  3. Step 3: Cross multiply
    272,538x = 586,512 × 586,512
  4. Step 4: Simplify right side
    272,538x = 343,996,326,144
  5. Step 5: Solve for x
    x = 343,996,326,144/272,538
  6. Step 6: Final answer
    x = 1,262,195.83

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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.