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Finding the Third Proportional to 263,096 and 410,046

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Solution

The third proportional to 263,096 and 410,046 is: 639,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,096 : 410,046 = 410,046 : x
  2. Step 2: Convert to fraction form
    263,096/410,046 = 410,046/x
  3. Step 3: Cross multiply
    263,096x = 410,046 × 410,046
  4. Step 4: Simplify right side
    263,096x = 168,137,722,116
  5. Step 5: Solve for x
    x = 168,137,722,116/263,096
  6. Step 6: Final answer
    x = 639,073.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.