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Finding the Third Proportional to 413.88 and 1,026.94

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Solution

The third proportional to 413.88 and 1,026.94 is: 2,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.88 : 1,026.94 = 1,026.94 : x
  2. Step 2: Convert to fraction form
    413.88/1,026.94 = 1,026.94/x
  3. Step 3: Cross multiply
    413.88x = 1,026.94 × 1,026.94
  4. Step 4: Simplify right side
    413.88x = 1,054,600.63
  5. Step 5: Solve for x
    x = 1,054,600.63/413.88
  6. Step 6: Final answer
    x = 2,548.11

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.