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Finding the Third Proportional to 292,261.50 and 440,325

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Solution

The third proportional to 292,261.50 and 440,325 is: 663,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,261.50 : 440,325 = 440,325 : x
  2. Step 2: Convert to fraction form
    292,261.50/440,325 = 440,325/x
  3. Step 3: Cross multiply
    292,261.50x = 440,325 × 440,325
  4. Step 4: Simplify right side
    292,261.50x = 193,886,105,625
  5. Step 5: Solve for x
    x = 193,886,105,625/292,261.50
  6. Step 6: Final answer
    x = 663,399.41

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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.