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Finding the Third Proportional to 275,064 and 414,417

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Solution

The third proportional to 275,064 and 414,417 is: 624,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,064 : 414,417 = 414,417 : x
  2. Step 2: Convert to fraction form
    275,064/414,417 = 414,417/x
  3. Step 3: Cross multiply
    275,064x = 414,417 × 414,417
  4. Step 4: Simplify right side
    275,064x = 171,741,449,889
  5. Step 5: Solve for x
    x = 171,741,449,889/275,064
  6. Step 6: Final answer
    x = 624,369.06

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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.