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Finding the Third Proportional to 547,082 and 879,005

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Solution

The third proportional to 547,082 and 879,005 is: 1,412,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,082 : 879,005 = 879,005 : x
  2. Step 2: Convert to fraction form
    547,082/879,005 = 879,005/x
  3. Step 3: Cross multiply
    547,082x = 879,005 × 879,005
  4. Step 4: Simplify right side
    547,082x = 772,649,790,025
  5. Step 5: Solve for x
    x = 772,649,790,025/547,082
  6. Step 6: Final answer
    x = 1,412,310.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.