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Finding the Third Proportional to 260,370 and 416,763

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Solution

The third proportional to 260,370 and 416,763 is: 667,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,370 : 416,763 = 416,763 : x
  2. Step 2: Convert to fraction form
    260,370/416,763 = 416,763/x
  3. Step 3: Cross multiply
    260,370x = 416,763 × 416,763
  4. Step 4: Simplify right side
    260,370x = 173,691,398,169
  5. Step 5: Solve for x
    x = 173,691,398,169/260,370
  6. Step 6: Final answer
    x = 667,094.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.