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Finding the Third Proportional to 267,966 and 586,152

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Solution

The third proportional to 267,966 and 586,152 is: 1,282,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,966 : 586,152 = 586,152 : x
  2. Step 2: Convert to fraction form
    267,966/586,152 = 586,152/x
  3. Step 3: Cross multiply
    267,966x = 586,152 × 586,152
  4. Step 4: Simplify right side
    267,966x = 343,574,167,104
  5. Step 5: Solve for x
    x = 343,574,167,104/267,966
  6. Step 6: Final answer
    x = 1,282,155.82

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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.