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Finding the Third Proportional to 407,950 and 883,696

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Solution

The third proportional to 407,950 and 883,696 is: 1,914,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,950 : 883,696 = 883,696 : x
  2. Step 2: Convert to fraction form
    407,950/883,696 = 883,696/x
  3. Step 3: Cross multiply
    407,950x = 883,696 × 883,696
  4. Step 4: Simplify right side
    407,950x = 780,918,620,416
  5. Step 5: Solve for x
    x = 780,918,620,416/407,950
  6. Step 6: Final answer
    x = 1,914,250.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.