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Finding the Third Proportional to 385,987 and 850,503

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Solution

The third proportional to 385,987 and 850,503 is: 1,874,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,987 : 850,503 = 850,503 : x
  2. Step 2: Convert to fraction form
    385,987/850,503 = 850,503/x
  3. Step 3: Cross multiply
    385,987x = 850,503 × 850,503
  4. Step 4: Simplify right side
    385,987x = 723,355,353,009
  5. Step 5: Solve for x
    x = 723,355,353,009/385,987
  6. Step 6: Final answer
    x = 1,874,040.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.