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Finding the Third Proportional to 542.32 and 1,152.98

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Solution

The third proportional to 542.32 and 1,152.98 is: 2,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.32 : 1,152.98 = 1,152.98 : x
  2. Step 2: Convert to fraction form
    542.32/1,152.98 = 1,152.98/x
  3. Step 3: Cross multiply
    542.32x = 1,152.98 × 1,152.98
  4. Step 4: Simplify right side
    542.32x = 1,329,372.97
  5. Step 5: Solve for x
    x = 1,329,372.97/542.32
  6. Step 6: Final answer
    x = 2,451.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.