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Finding the Third Proportional to 542.75 and 1,206.88

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Solution

The third proportional to 542.75 and 1,206.88 is: 2,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.75 : 1,206.88 = 1,206.88 : x
  2. Step 2: Convert to fraction form
    542.75/1,206.88 = 1,206.88/x
  3. Step 3: Cross multiply
    542.75x = 1,206.88 × 1,206.88
  4. Step 4: Simplify right side
    542.75x = 1,456,547.27
  5. Step 5: Solve for x
    x = 1,456,547.27/542.75
  6. Step 6: Final answer
    x = 2,683.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.