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Finding the Third Proportional to 412,857 and 581,377.50

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Solution

The third proportional to 412,857 and 581,377.50 is: 818,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,857 : 581,377.50 = 581,377.50 : x
  2. Step 2: Convert to fraction form
    412,857/581,377.50 = 581,377.50/x
  3. Step 3: Cross multiply
    412,857x = 581,377.50 × 581,377.50
  4. Step 4: Simplify right side
    412,857x = 337,999,797,506.25
  5. Step 5: Solve for x
    x = 337,999,797,506.25/412,857
  6. Step 6: Final answer
    x = 818,684.91

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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.