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Finding the Third Proportional to 312,649.50 and 659,751

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Solution

The third proportional to 312,649.50 and 659,751 is: 1,392,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,649.50 : 659,751 = 659,751 : x
  2. Step 2: Convert to fraction form
    312,649.50/659,751 = 659,751/x
  3. Step 3: Cross multiply
    312,649.50x = 659,751 × 659,751
  4. Step 4: Simplify right side
    312,649.50x = 435,271,382,001
  5. Step 5: Solve for x
    x = 435,271,382,001/312,649.50
  6. Step 6: Final answer
    x = 1,392,202.39

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.