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Finding the Third Proportional to 588.66 and 912.06

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Solution

The third proportional to 588.66 and 912.06 is: 1,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.66 : 912.06 = 912.06 : x
  2. Step 2: Convert to fraction form
    588.66/912.06 = 912.06/x
  3. Step 3: Cross multiply
    588.66x = 912.06 × 912.06
  4. Step 4: Simplify right side
    588.66x = 831,858.00
  5. Step 5: Solve for x
    x = 831,858.00/588.66
  6. Step 6: Final answer
    x = 1,413.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.