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Finding the Third Proportional to 558,921 and 790,105

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Solution

The third proportional to 558,921 and 790,105 is: 1,116,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,921 : 790,105 = 790,105 : x
  2. Step 2: Convert to fraction form
    558,921/790,105 = 790,105/x
  3. Step 3: Cross multiply
    558,921x = 790,105 × 790,105
  4. Step 4: Simplify right side
    558,921x = 624,265,911,025
  5. Step 5: Solve for x
    x = 624,265,911,025/558,921
  6. Step 6: Final answer
    x = 1,116,912.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.