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Finding the Third Proportional to 240,264 and 374,004

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Solution

The third proportional to 240,264 and 374,004 is: 582,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,264 : 374,004 = 374,004 : x
  2. Step 2: Convert to fraction form
    240,264/374,004 = 374,004/x
  3. Step 3: Cross multiply
    240,264x = 374,004 × 374,004
  4. Step 4: Simplify right side
    240,264x = 139,878,992,016
  5. Step 5: Solve for x
    x = 139,878,992,016/240,264
  6. Step 6: Final answer
    x = 582,188.73

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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.