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Finding the Third Proportional to 431,635.50 and 880,407

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Solution

The third proportional to 431,635.50 and 880,407 is: 1,795,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,635.50 : 880,407 = 880,407 : x
  2. Step 2: Convert to fraction form
    431,635.50/880,407 = 880,407/x
  3. Step 3: Cross multiply
    431,635.50x = 880,407 × 880,407
  4. Step 4: Simplify right side
    431,635.50x = 775,116,485,649
  5. Step 5: Solve for x
    x = 775,116,485,649/431,635.50
  6. Step 6: Final answer
    x = 1,795,766.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.