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Finding the Third Proportional to 275,286 and 407,811.75

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Solution

The third proportional to 275,286 and 407,811.75 is: 604,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,286 : 407,811.75 = 407,811.75 : x
  2. Step 2: Convert to fraction form
    275,286/407,811.75 = 407,811.75/x
  3. Step 3: Cross multiply
    275,286x = 407,811.75 × 407,811.75
  4. Step 4: Simplify right side
    275,286x = 166,310,423,438.06
  5. Step 5: Solve for x
    x = 166,310,423,438.06/275,286
  6. Step 6: Final answer
    x = 604,136.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.