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Finding the Third Proportional to 469.41 and 704.81

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Solution

The third proportional to 469.41 and 704.81 is: 1,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.41 : 704.81 = 704.81 : x
  2. Step 2: Convert to fraction form
    469.41/704.81 = 704.81/x
  3. Step 3: Cross multiply
    469.41x = 704.81 × 704.81
  4. Step 4: Simplify right side
    469.41x = 496,760.66
  5. Step 5: Solve for x
    x = 496,760.66/469.41
  6. Step 6: Final answer
    x = 1,058.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.