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Finding the Third Proportional to 240,380 and 373,679

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Solution

The third proportional to 240,380 and 373,679 is: 580,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,380 : 373,679 = 373,679 : x
  2. Step 2: Convert to fraction form
    240,380/373,679 = 373,679/x
  3. Step 3: Cross multiply
    240,380x = 373,679 × 373,679
  4. Step 4: Simplify right side
    240,380x = 139,635,995,041
  5. Step 5: Solve for x
    x = 139,635,995,041/240,380
  6. Step 6: Final answer
    x = 580,896.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.