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Finding the Third Proportional to 353,576.39 and 763,211.74

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Solution

The third proportional to 353,576.39 and 763,211.74 is: 1,647,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,576.39 : 763,211.74 = 763,211.74 : x
  2. Step 2: Convert to fraction form
    353,576.39/763,211.74 = 763,211.74/x
  3. Step 3: Cross multiply
    353,576.39x = 763,211.74 × 763,211.74
  4. Step 4: Simplify right side
    353,576.39x = 582,492,163,412.91
  5. Step 5: Solve for x
    x = 582,492,163,412.91/353,576.39
  6. Step 6: Final answer
    x = 1,647,429.46

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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.