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Finding the Third Proportional to 340,431.75 and 512,116.88

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Solution

The third proportional to 340,431.75 and 512,116.88 is: 770,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,431.75 : 512,116.88 = 512,116.88 : x
  2. Step 2: Convert to fraction form
    340,431.75/512,116.88 = 512,116.88/x
  3. Step 3: Cross multiply
    340,431.75x = 512,116.88 × 512,116.88
  4. Step 4: Simplify right side
    340,431.75x = 262,263,693,659.77
  5. Step 5: Solve for x
    x = 262,263,693,659.77/340,431.75
  6. Step 6: Final answer
    x = 770,385.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.