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Finding the Third Proportional to 240,456 and 374,295

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Solution

The third proportional to 240,456 and 374,295 is: 582,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,456 : 374,295 = 374,295 : x
  2. Step 2: Convert to fraction form
    240,456/374,295 = 374,295/x
  3. Step 3: Cross multiply
    240,456x = 374,295 × 374,295
  4. Step 4: Simplify right side
    240,456x = 140,096,747,025
  5. Step 5: Solve for x
    x = 140,096,747,025/240,456
  6. Step 6: Final answer
    x = 582,629.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.