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Finding the Third Proportional to 541.83 and 1,122.05

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Solution

The third proportional to 541.83 and 1,122.05 is: 2,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.83 : 1,122.05 = 1,122.05 : x
  2. Step 2: Convert to fraction form
    541.83/1,122.05 = 1,122.05/x
  3. Step 3: Cross multiply
    541.83x = 1,122.05 × 1,122.05
  4. Step 4: Simplify right side
    541.83x = 1,258,989.19
  5. Step 5: Solve for x
    x = 1,258,989.19/541.83
  6. Step 6: Final answer
    x = 2,323.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.