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Finding the Third Proportional to 240,401 and 373,725

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Solution

The third proportional to 240,401 and 373,725 is: 580,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,401 : 373,725 = 373,725 : x
  2. Step 2: Convert to fraction form
    240,401/373,725 = 373,725/x
  3. Step 3: Cross multiply
    240,401x = 373,725 × 373,725
  4. Step 4: Simplify right side
    240,401x = 139,670,375,625
  5. Step 5: Solve for x
    x = 139,670,375,625/240,401
  6. Step 6: Final answer
    x = 580,989.16

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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.