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Finding the Third Proportional to 240,410 and 374,223

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Solution

The third proportional to 240,410 and 374,223 is: 582,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,410 : 374,223 = 374,223 : x
  2. Step 2: Convert to fraction form
    240,410/374,223 = 374,223/x
  3. Step 3: Cross multiply
    240,410x = 374,223 × 374,223
  4. Step 4: Simplify right side
    240,410x = 140,042,853,729
  5. Step 5: Solve for x
    x = 140,042,853,729/240,410
  6. Step 6: Final answer
    x = 582,516.76

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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.