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Finding the Third Proportional to 340,265.25 and 409,884.75

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Solution

The third proportional to 340,265.25 and 409,884.75 is: 493,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,265.25 : 409,884.75 = 409,884.75 : x
  2. Step 2: Convert to fraction form
    340,265.25/409,884.75 = 409,884.75/x
  3. Step 3: Cross multiply
    340,265.25x = 409,884.75 × 409,884.75
  4. Step 4: Simplify right side
    340,265.25x = 168,005,508,282.56
  5. Step 5: Solve for x
    x = 168,005,508,282.56/340,265.25
  6. Step 6: Final answer
    x = 493,748.65

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.