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Finding the Third Proportional to 291,285.75 and 447,080.25

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Solution

The third proportional to 291,285.75 and 447,080.25 is: 686,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,285.75 : 447,080.25 = 447,080.25 : x
  2. Step 2: Convert to fraction form
    291,285.75/447,080.25 = 447,080.25/x
  3. Step 3: Cross multiply
    291,285.75x = 447,080.25 × 447,080.25
  4. Step 4: Simplify right side
    291,285.75x = 199,880,749,940.06
  5. Step 5: Solve for x
    x = 199,880,749,940.06/291,285.75
  6. Step 6: Final answer
    x = 686,201.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.