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Finding the Third Proportional to 601.07 and 903.34

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Solution

The third proportional to 601.07 and 903.34 is: 1,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.07 : 903.34 = 903.34 : x
  2. Step 2: Convert to fraction form
    601.07/903.34 = 903.34/x
  3. Step 3: Cross multiply
    601.07x = 903.34 × 903.34
  4. Step 4: Simplify right side
    601.07x = 816,022.87
  5. Step 5: Solve for x
    x = 816,022.87/601.07
  6. Step 6: Final answer
    x = 1,357.63

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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.