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Finding the Third Proportional to 240,451 and 373,801

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Solution

The third proportional to 240,451 and 373,801 is: 581,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,451 : 373,801 = 373,801 : x
  2. Step 2: Convert to fraction form
    240,451/373,801 = 373,801/x
  3. Step 3: Cross multiply
    240,451x = 373,801 × 373,801
  4. Step 4: Simplify right side
    240,451x = 139,727,187,601
  5. Step 5: Solve for x
    x = 139,727,187,601/240,451
  6. Step 6: Final answer
    x = 581,104.62

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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.