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Finding the Third Proportional to 262,099.50 and 616,080.75

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Solution

The third proportional to 262,099.50 and 616,080.75 is: 1,448,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,099.50 : 616,080.75 = 616,080.75 : x
  2. Step 2: Convert to fraction form
    262,099.50/616,080.75 = 616,080.75/x
  3. Step 3: Cross multiply
    262,099.50x = 616,080.75 × 616,080.75
  4. Step 4: Simplify right side
    262,099.50x = 379,555,490,520.56
  5. Step 5: Solve for x
    x = 379,555,490,520.56/262,099.50
  6. Step 6: Final answer
    x = 1,448,135.12

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.