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Finding the Third Proportional to 279,180 and 611,526

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Solution

The third proportional to 279,180 and 611,526 is: 1,339,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,180 : 611,526 = 611,526 : x
  2. Step 2: Convert to fraction form
    279,180/611,526 = 611,526/x
  3. Step 3: Cross multiply
    279,180x = 611,526 × 611,526
  4. Step 4: Simplify right side
    279,180x = 373,964,048,676
  5. Step 5: Solve for x
    x = 373,964,048,676/279,180
  6. Step 6: Final answer
    x = 1,339,508.74

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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.