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Finding the Third Proportional to 412,927 and 581,503

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Solution

The third proportional to 412,927 and 581,503 is: 818,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,927 : 581,503 = 581,503 : x
  2. Step 2: Convert to fraction form
    412,927/581,503 = 581,503/x
  3. Step 3: Cross multiply
    412,927x = 581,503 × 581,503
  4. Step 4: Simplify right side
    412,927x = 338,145,739,009
  5. Step 5: Solve for x
    x = 338,145,739,009/412,927
  6. Step 6: Final answer
    x = 818,899.56

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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.