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Finding the Third Proportional to 542.81 and 1,184.06

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Solution

The third proportional to 542.81 and 1,184.06 is: 2,582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.81 : 1,184.06 = 1,184.06 : x
  2. Step 2: Convert to fraction form
    542.81/1,184.06 = 1,184.06/x
  3. Step 3: Cross multiply
    542.81x = 1,184.06 × 1,184.06
  4. Step 4: Simplify right side
    542.81x = 1,402,004.00
  5. Step 5: Solve for x
    x = 1,402,004.00/542.81
  6. Step 6: Final answer
    x = 2,582.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.