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Finding the Third Proportional to 558,982.50 and 790,195.50

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Solution

The third proportional to 558,982.50 and 790,195.50 is: 1,117,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,982.50 : 790,195.50 = 790,195.50 : x
  2. Step 2: Convert to fraction form
    558,982.50/790,195.50 = 790,195.50/x
  3. Step 3: Cross multiply
    558,982.50x = 790,195.50 × 790,195.50
  4. Step 4: Simplify right side
    558,982.50x = 624,408,928,220.25
  5. Step 5: Solve for x
    x = 624,408,928,220.25/558,982.50
  6. Step 6: Final answer
    x = 1,117,045.58

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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.