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Finding the Third Proportional to 262,726 and 416,081

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Solution

The third proportional to 262,726 and 416,081 is: 658,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,726 : 416,081 = 416,081 : x
  2. Step 2: Convert to fraction form
    262,726/416,081 = 416,081/x
  3. Step 3: Cross multiply
    262,726x = 416,081 × 416,081
  4. Step 4: Simplify right side
    262,726x = 173,123,398,561
  5. Step 5: Solve for x
    x = 173,123,398,561/262,726
  6. Step 6: Final answer
    x = 658,950.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.