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Finding the Third Proportional to 546.38 and 1,214.25

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Solution

The third proportional to 546.38 and 1,214.25 is: 2,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.38 : 1,214.25 = 1,214.25 : x
  2. Step 2: Convert to fraction form
    546.38/1,214.25 = 1,214.25/x
  3. Step 3: Cross multiply
    546.38x = 1,214.25 × 1,214.25
  4. Step 4: Simplify right side
    546.38x = 1,474,403.06
  5. Step 5: Solve for x
    x = 1,474,403.06/546.38
  6. Step 6: Final answer
    x = 2,698.52

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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.