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Finding the Third Proportional to 533.67 and 719.51

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Solution

The third proportional to 533.67 and 719.51 is: 970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.67 : 719.51 = 719.51 : x
  2. Step 2: Convert to fraction form
    533.67/719.51 = 719.51/x
  3. Step 3: Cross multiply
    533.67x = 719.51 × 719.51
  4. Step 4: Simplify right side
    533.67x = 517,691.49
  5. Step 5: Solve for x
    x = 517,691.49/533.67
  6. Step 6: Final answer
    x = 970.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.