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Finding the Third Proportional to 307,302.75 and 665,148.75

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Solution

The third proportional to 307,302.75 and 665,148.75 is: 1,439,697.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,302.75 : 665,148.75 = 665,148.75 : x
  2. Step 2: Convert to fraction form
    307,302.75/665,148.75 = 665,148.75/x
  3. Step 3: Cross multiply
    307,302.75x = 665,148.75 × 665,148.75
  4. Step 4: Simplify right side
    307,302.75x = 442,422,859,626.56
  5. Step 5: Solve for x
    x = 442,422,859,626.56/307,302.75
  6. Step 6: Final answer
    x = 1,439,697.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.