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Finding the Third Proportional to 604.76 and 962.30

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Solution

The third proportional to 604.76 and 962.30 is: 1,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.76 : 962.30 = 962.30 : x
  2. Step 2: Convert to fraction form
    604.76/962.30 = 962.30/x
  3. Step 3: Cross multiply
    604.76x = 962.30 × 962.30
  4. Step 4: Simplify right side
    604.76x = 926,015.28
  5. Step 5: Solve for x
    x = 926,015.28/604.76
  6. Step 6: Final answer
    x = 1,531.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.