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Finding the Third Proportional to 267,948 and 586,116

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Solution

The third proportional to 267,948 and 586,116 is: 1,282,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,948 : 586,116 = 586,116 : x
  2. Step 2: Convert to fraction form
    267,948/586,116 = 586,116/x
  3. Step 3: Cross multiply
    267,948x = 586,116 × 586,116
  4. Step 4: Simplify right side
    267,948x = 343,531,965,456
  5. Step 5: Solve for x
    x = 343,531,965,456/267,948
  6. Step 6: Final answer
    x = 1,282,084.45

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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.