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Finding the Third Proportional to 275,056 and 414,406

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Solution

The third proportional to 275,056 and 414,406 is: 624,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,056 : 414,406 = 414,406 : x
  2. Step 2: Convert to fraction form
    275,056/414,406 = 414,406/x
  3. Step 3: Cross multiply
    275,056x = 414,406 × 414,406
  4. Step 4: Simplify right side
    275,056x = 171,732,332,836
  5. Step 5: Solve for x
    x = 171,732,332,836/275,056
  6. Step 6: Final answer
    x = 624,354.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.