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Finding the Third Proportional to 269,676 and 586,416

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Solution

The third proportional to 269,676 and 586,416 is: 1,275,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,676 : 586,416 = 586,416 : x
  2. Step 2: Convert to fraction form
    269,676/586,416 = 586,416/x
  3. Step 3: Cross multiply
    269,676x = 586,416 × 586,416
  4. Step 4: Simplify right side
    269,676x = 343,883,725,056
  5. Step 5: Solve for x
    x = 343,883,725,056/269,676
  6. Step 6: Final answer
    x = 1,275,173.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.