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Finding the Third Proportional to 531,680.50 and 1,166,696

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Solution

The third proportional to 531,680.50 and 1,166,696 is: 2,560,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,680.50 : 1,166,696 = 1,166,696 : x
  2. Step 2: Convert to fraction form
    531,680.50/1,166,696 = 1,166,696/x
  3. Step 3: Cross multiply
    531,680.50x = 1,166,696 × 1,166,696
  4. Step 4: Simplify right side
    531,680.50x = 1,361,179,556,416
  5. Step 5: Solve for x
    x = 1,361,179,556,416/531,680.50
  6. Step 6: Final answer
    x = 2,560,145.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.