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Finding the Third Proportional to 504.98 and 1,103.94

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Solution

The third proportional to 504.98 and 1,103.94 is: 2,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.98 : 1,103.94 = 1,103.94 : x
  2. Step 2: Convert to fraction form
    504.98/1,103.94 = 1,103.94/x
  3. Step 3: Cross multiply
    504.98x = 1,103.94 × 1,103.94
  4. Step 4: Simplify right side
    504.98x = 1,218,686.63
  5. Step 5: Solve for x
    x = 1,218,686.63/504.98
  6. Step 6: Final answer
    x = 2,413.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.