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Finding the Third Proportional to 267,951 and 586,122

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Solution

The third proportional to 267,951 and 586,122 is: 1,282,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,951 : 586,122 = 586,122 : x
  2. Step 2: Convert to fraction form
    267,951/586,122 = 586,122/x
  3. Step 3: Cross multiply
    267,951x = 586,122 × 586,122
  4. Step 4: Simplify right side
    267,951x = 343,538,998,884
  5. Step 5: Solve for x
    x = 343,538,998,884/267,951
  6. Step 6: Final answer
    x = 1,282,096.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.