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Finding the Third Proportional to 542.63 and 704.63

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Solution

The third proportional to 542.63 and 704.63 is: 914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.63 : 704.63 = 704.63 : x
  2. Step 2: Convert to fraction form
    542.63/704.63 = 704.63/x
  3. Step 3: Cross multiply
    542.63x = 704.63 × 704.63
  4. Step 4: Simplify right side
    542.63x = 496,496.39
  5. Step 5: Solve for x
    x = 496,496.39/542.63
  6. Step 6: Final answer
    x = 914.99

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.