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Finding the Third Proportional to 263,312 and 408,460

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Solution

The third proportional to 263,312 and 408,460 is: 633,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,312 : 408,460 = 408,460 : x
  2. Step 2: Convert to fraction form
    263,312/408,460 = 408,460/x
  3. Step 3: Cross multiply
    263,312x = 408,460 × 408,460
  4. Step 4: Simplify right side
    263,312x = 166,839,571,600
  5. Step 5: Solve for x
    x = 166,839,571,600/263,312
  6. Step 6: Final answer
    x = 633,619.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.