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Finding the Third Proportional to 454.13 and 1,046.81

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Solution

The third proportional to 454.13 and 1,046.81 is: 2,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.13 : 1,046.81 = 1,046.81 : x
  2. Step 2: Convert to fraction form
    454.13/1,046.81 = 1,046.81/x
  3. Step 3: Cross multiply
    454.13x = 1,046.81 × 1,046.81
  4. Step 4: Simplify right side
    454.13x = 1,095,816.41
  5. Step 5: Solve for x
    x = 1,095,816.41/454.13
  6. Step 6: Final answer
    x = 2,413.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.